🍁・general-2

[abstract scaffold]

you technically didn't go wrong

it's just that 0/0 is an indeterminate form

so this is where you gotta do something a bit more non trivial

to prove if f(x) = e^x then f'(x) = e^x as well

[gusty ermine]

How do you do that

[hearty sparrow]

the zeros cancel out and you're left with e^x

[gusty ermine]

😂😂

[hearty sparrow]

tbh though I have no clue

[abstract scaffold]

im working on it

[hearty sparrow]

there's always khanacademy

https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-2-7/a/proof-the-derivative-of-is

[abstract scaffold]

^ that

@gusty ermine also, notation wise. if you already substituted the 0 from the lim, dont write lim h -> 0 anymore

you need a few limit properties to derive the derivative of e^x

[gusty ermine]

I overestimated my brain capacity

[median trail]

@abstract scaffold could you please explain me something about proving limits?

[abstract scaffold]

like what?

[gusty ermine]

How did this come about?

[median trail]

what does it mean to find a relation between delta and epsilon? I get why f(x)-L = x - a if the limit exists but i just don't get the delta and epsilon part

what does it mean to get like delta = epsilon/2

[abstract scaffold]

u = e^h + 1
u - 1 = e^h , make e^h by itself by taking away 1 from both sides
e^h = u - 1 change LHS and RHS
ln(e^h) = ln(u-1) take log of both sides
hlog(e) = log(u-1) log property
h = log(u-1) more log properties

[gusty ermine]

can someone give me a graph of -arccsc x

nvm jk

[abstract scaffold]

@median trail oh jesus, ok... let me think of how to explain this. epsilon delta is quite hard to grasp, and i still don't have it fully grasp either but here i go.

first off f(x) - L does not equal x - a to my knowledge

[median trail]

i mean, you can get x - a starting off with the f(x)-L part if the limit exists (?

[abstract scaffold]

basically for any distance epsilon on the y axis given away from the y-value of limit, we can find at least one positive delta distance on the x-axis away from the x-value of the limit

if a delta region exists, then we say the limit exists in there.

so if you get delta = epsilon/2

that delta is positive

because epsilon is always positive

so you have a found a delta > 0

some delta distance given any epsilon distance

[median trail]

but what do they mean? maybe they represent what means to be close to the limit?

[abstract scaffold]

the epsilon and delta?

[median trail]

yes

[abstract scaffold]

epsilon is the distance away from L (some close distance)

^or technically any distance

but usually small, since we're dealing with limits

delta is a small distance away from your point "a" |x-a|

limit x->a f(x) = L

so we can't find the limit directly, but we use some distance away epsilon, to find some delta, and if that delta region exists, we say the limit is contained in there, so L must be the limit.

[median trail]

so they represent what it means to be close to the limit, right? depending the delta i use i can set up the distance around the limit that we could call "being close to it" ?

[abstract scaffold]

yes.

so as long as you find that delta, it wraps around the limit, so you found the limit

this is an example of delta not wrapping around the true limit

because we know trivially this should be "a"

[median trail]

oh

[abstract scaffold]

but I found an epsilon that doesn't wrap around the true limit, so by delta-epsilon, this limit is bogus.

so if i were to do that algebraiacally, i would have never found a delta

so basically, epsilon delta is used to conjecture a limit, then try to prove it's true

by knowing things that happen around that limit

simple conjecture

@median trail hopefully this graph makes more sense

[median trail]

ohhhhhh so i can always draw a triangle?

[abstract scaffold]

er, not exactly, the triangle is showing the equal distance away from b.

so the limit of x->b of x is b

but definitely not a, as you have unequal distance, can't find a delta.

[median trail]

ooooh i see

thanks

[abstract scaffold]

if the red and orange areas are equal width, this implies the purple and yellow/green area have equal width as well

[mossy cloud]

http://tutorial.math.lamar.edu/Classes/CalcI/DefnOfLimit.aspx

Here's a quick good read on the delta-epsilon definition of a limit

The whole "prove the limit equals this using the definition" is too much for me

I stopped trying to do those kinds of proofs halfway down the page

[median trail]

when I was learning calculus i did the same thing because I felt that this wasn't even helping my overall calculus knowledge

[mossy cloud]

I only learned the definitions

That was enough for me

Intuitively

[median trail]

oh I see

[mossy cloud]

I used it to help me understand some of the convergence tests used for infinite series

The proof of those tests used (or borrowed elements of) the epsilon-delta definition of a limit

I'll probably go back to it once I near proof-heavy classes

[celest bay]

@agile sedge please keep commands in #🤖・general-bot

[agile sedge]

Sorry!

[celest bay]

no worries! ^^

[ashen mist]

El límite

[gusty ermine]

Jiggle jiggle jiggle

Turutututu

[sacred harbor]

[marsh linden]

anyone own a oneplus 7 pro by any chance?

They're 100 pounds off this week

and ive been looking to buy a new phone

[abstract scaffold]

i've still got a shitty ass phone

my brothers been practically begging me to buy a new one lmao

[vestal pine]

What phone u got?

[abstract scaffold]

I think an OPPO F1 with crackd screen

[vestal pine]

ye never even heard of that lol

[eager wagon]

@marsh linden Tengo un oneplus 5 y mi novio un oneplus 6

[vestal pine]

Never heard of oneplus either

fkn hell

[marsh linden]

Llevo más de cuatro años con mi móvil actual y ya que pronto es black friday, debería actualizar

[ashen mist]

Nah, mejor quedarte con lo que tenés

A menos que sea tan viejo que no puede actualizar cosas de seguridad o lo que sea

[marsh linden]

No pero va más lento que antes

[eager wagon]

Un oneplus 7 cuesta 500 pounds o algo, y es un móvil bastante bueno

me gusta mucho el oneplus

[ashen mist]

@mossy cloud @median trail I love proofs

[marsh linden]

Hmmm

I think I should even be able to get a 10% discount

[ashen mist]

Podés ahorrar 100% por no comprar algo nuevo

[marsh linden]

es vdd

[median trail]

if x and y are odd, then x+y is even

x = 2k+1
y = 2m+1

x + y = 2(k+m+1)

QED

am I already a mathematician? @ashen mist

[fossil cipher]

That seems incorrect to me, idk.

[median trail]

it is

you need to clarify that k=/=m

and they are also integers

and you need to clarify that (k+m+1) is an intener

integer

[ashen mist]

x = 2k+1, for some integer k (by definition of odd)
y = 2m+1, for some integer m (by definition of odd)
x +y = 2k+1 + 2m+1 = 2(k + m + 1) = 2b
b must be an integer because integers are closed under addition (meaning an integer + another integer = an integer)
So x+y is even by definition of even numbers

[median trail]

I won't do all of that typing on a phone

[ashen mist]

k can equal m

It doesn't have to

Of course, we're assuming that integers are closed under addition

[median trail]

but that's true, isn't it?

i have no idea about imaginary number

[vestal pine]

U lot are very smart

[median trail]

numbers

[vestal pine]

[ashen mist]

@median trail integers are closed under addition. I'm just saying we're using that information in the proof without proving it

[median trail]

aaah

[gentle heath]

Mmm group theory mmmmm

[eager wagon]

Aaaaaa

[abstract scaffold]

simple discrete maths.

i hate discrete maths.

it was a nightmare

the end.

[gentle heath]

How can u hate discrete

[abstract scaffold]

cos i only got distinction in it

[abstract scaffold]

I got bored and tried to integrate x^n/(1+x^3)

[eternal karma]

tengo muchísimo respeto para las personas que le gusta hacer matemáticas

shit hurts my brain

[glass dragon]

I think it's kind of a social meme that math is supposed to be difficult, so people don't bother putting in the same amount of effort into being proficient at math that they do other difficult life skills, and then they are suddenly 16 and in Algebra 2 and in way over their head and they think it's because math is inherently difficult when it's really not

[real imp]

@glass dragon blame the system

we've been raised in a society where it's ok to suck at maths

no, it's not okay

[ashen mist]

More like sucking at school overall

[real imp]

our world was made using maths

school sucks

sucking at school is being good at it

[ashen mist]

they dont even teach you many important things

like financial literacy

[real imp]

they made me draw a fucking cow

for biology

[ashen mist]

and if they do teach you, it's optional

LOL

[real imp]

i was 16

fucking 16

WHY DO I HAVE TO DRAW A COW

IT'S BIOLOGY CLASS

[glass dragon]

If we treated everything else in life like we treat math, we'd all be incapable of walking or wiping our own butts

[real imp]

bold of you to assume i can do either

[glass dragon]

"walking is too hard. I keep falling down, and when am I ever going to use this anyway? I'm going to have a car when I grow up"

[real imp]

lmaooo

well but at least teachers would be able to explain why you need to walk

but if your teacher is like "you need to learn derivatives for reasons i'm incapable of explaining"

there's clearly something wrong

assumming you get that far

my teacher already failed at teaching me divisions

[vestal pine]

I hated my maths teacher

[glass dragon]

To be fair, a lot of why we learn math in school isn't so we can use math later on life, so it's a bit hard to explain sometimes

[real imp]

yeah ofc but i feel useless when i realise i can't do it and someone else can

[glass dragon]

But nobody asks their sports coach "why do we need to run this drill - it's never going to be like this in a game". They understand they're honing skills

But again the social meme is that math is useless and too difficult

So people think they should ask that question only with math

[split mauve]

I am pretty sure people ask that with almot everything taught in school

[glass dragon]

Sure probably somebody does

But it's not nearly to the same extent

[split mauve]

I suppose, and i suppose it's easy to hate on a class that's almost entirely theory and doing exercises

I have yet to see myself why I needed to learn at what ozone layer airplanes fly in for chemistry

[summer rune]

@abstract scaffold dude discrete es mejor de calc bc o calc ab

and math after like precalc is basically useless in the real world and i can say that from experience*

[glass dragon]

math before precalc is pretty useless, though, too

I mean, when are you ever going to factor a polynomial or write an exponential equation for the decay rate of chlorine in a pool if youre 99.99999% of the population

the only people who would ever use those skills are people who write math textbooks

[summer rune]

pero algebra es mas importante de calculus

y ur more likelt yo use algebra then calc * atleast i think

si es true

verdadero**

[glass dragon]

the soft skills taught by participation in an algebra class are important, but you will never use the hard skills you learned in that class

[split mauve]

I'd prefer learning those softs skills doing something I like, like being a nerd about cities xd

[glass dragon]

i guess it's not really "soft skills" vs "hard skills"

More like, yeah the implicit reasoning skills of algebra is important, but the actual algebra skills are not

[summer rune]

que es los "soft skills"

[glass dragon]

doesn't matter, I reworded it around that term

[split mauve]

soft skills are skills used for socializing and person-to-person abilities I think

[glass dragon]

but nobody in their entire life will factor a degree 4 polynomial by grouping, and yet that's an algebra skill that you are taught

the only people who even use degree four polynomials in their life after high school are certainly not using ones that can be factored

[summer rune]

si

pero cuando usas "integrals" y otros partes de calculus

[glass dragon]

all I'm saying is when you said "math after like precalc is basically useless", I wanted to point out that the math before precalc is also useless

[summer rune]

vaye

[mossy cloud]

It really depends

If you like to do your own finances, calculus comes in handy

In order to do calculus, you need everything underneath that

[abstract scaffold]

i don't understand what calc ab and calc bc are.

ah, searched it up. i see now.

only things i really liked discrete and probability were nightmares for me

[still radish]

what are you talking about i regularly solve partial differential equations as part of my job

[marsh linden]

But you're an egg

[still radish]

that is correct

[marsh linden]

@past storm jajajaja

[ashen mist]

@summer rune maths after precalc have many real-world applications

[median trail]

@glass dragon I have a question, the reason why a vector is a line form the origin to a given point is because it's like we had a circle with radius r, so the magnitude of that vector would be the radius of the circle?

it's just that we don't draw the circle where that vector belongs?

[past storm]

@marsh linden what does that mean

Have we lost xd

[marsh linden]

to trail = to be losing against

but you won in the end

gjgj

[past storm]

Haha thank goodness

Fcb is such a shitty team atm

[glass dragon]

@median trail yeah pretty much

[median trail]

oh wow I love complex numbers now

I've been introduced to them twice, in my previous uni and in the one I'm currently in and for some reason my geometry teacher didn't explain this when she was teaching us vector geometry

[ashen mist]

@median trail you can just think of a vector as an object with a direction and a magnitude (basically the "length")

[marsh linden]

There's a really good 3blue1brown video about it i think

[summer rune]

@ashen mist si yo se pero el material antes de precalc and despues de calc no es mas menos importante

@abstract scaffold que grado tu es en?

[ashen mist]

Qué? Querés decir que no es importante lo que aprendemos antes de precalc y después?

Literal, el cálculo es esencial en cosas de física, naturaleza, informática, etc

[median trail]

I know but I didn't really understand why it was a line

[ashen mist]

The vectors?

That's just a geometrical interpretation

[median trail]

yes

I wanted to know the geometrical interpretation

[ashen mist]

Gotcha

[mossy cloud]

direction and magnitude is what I understand of vectors so far

won’t take linear algebra until next year

[marsh linden]

Linear algebra...

I enjoyed it but it hated me

[mossy cloud]

oof

[median trail]

Next semester I will take linear algebra

[mossy cloud]

Fun

I can’t wait until I finish diff eq, matrix algebra, and linear algebra so I can get into more fun math

[median trail]

I'm studying it on my own because i don't want surprises when I take it hahah

[mossy cloud]

That is a solid plan

I do that too

[median trail]

i've already taken diff eq and it's okay, there are a ton of methods to resolve a diff eq

[mossy cloud]

Yeah, I plan to teach myself it over winter break before I take it in the spring

Then I can take two math classes next semester and get that one over with as well

[median trail]

you just need to know how to solve integrals and derivatives and exponential functions as far as I remember

[mossy cloud]

interesting hmm

I’ve heard of laplace transforms, is that anything special?

[median trail]

Well, it is if your class is about the technical part like the theorems behind it then it can be hard but if not then it's pretty easy

[mossy cloud]

cool

[marsh linden]

my teacher at the end of my linear algebra course showed us some nonlinear stuff

crazy...

if only i were smarter... haha

[mossy cloud]

nonlinear programming?

[marsh linden]

nonlinear algebra

[gentle heath]

honestly what does non linear algebra look like

diff eq and lin alg are next semester for me i think

[marsh linden]

lemme see if i still have the lecture notes from it

[gentle heath]

doing real analysis and calc atm

not what they're called but its about the same content wise

[marsh linden]

ahh nvm

i have the lecture notes

but theyre in spanish

and the lecturer

being a lecturer

has TERRIBLE handwriting

is this legible????

[gentle heath]

eh

not even sure id have a clue if the handwriting was readable

[eager wagon]

si.. obtenemos la sol? de ?? exactamente como en el caso del sistems? linerliardo, por ? lado el ? ??? estable
pero consideremos la ?? definid? pa? si está en la ?

muy útil

😄

[fossil cipher]

Nexus, you are somewhat on my level lol

Still think you have better hadnwriting

[marsh linden]

thats not my handwriting

thats my professors

[fossil cipher]

Oh

[summer rune]

@ashen mist No i wanted to say that b4 precalc is easier than after ccalc material*

[mossy cloud]

Imagine a medical doctor teaching a class

Their notes would be hieroglyphs

[marsh linden]

Isn't that every medicine degree?

[mossy cloud]

Idk, the one that writes down barely legible prescriptions?

I'm not going into the medical field, so I was making a generalization

[summer rune]

how the heck do we use jupyterhub*

like it wont let me compile mechanisms and i dont wanna ask my professor over and over*

[glass dragon]

that's their job is to answer your questions

[summer rune]

si yo pregunto

mi profesor

[rain ermine]

Just set up my Apple Music on my iPad

I really need iOS 13 on my phone lol I am missing out on a lot

[wanton needle]

Just get spotify

Lol

[rain ermine]

No

I don’t have a subscription to Spotify

[glass dragon]

Plus apple music is better

[fossil cipher]

Epic, what version are you on right now?

[marsh linden]

[fossil cipher]

iOS version

[marsh linden]

boo apple music

[fossil cipher]

Yeah

[marsh linden]

Amaroq is just a shill

[fossil cipher]

;D

[summer rune]

como resolver "weighted graphs" en discrete*

y mas importante, que es mejor libro para aprender discrete por que mi profesor es muy mal

[celest bay]

apple music's the best

also apple pls send money I'll shill for you

[marsh linden]

uwish

[rain ermine]

@fossil cipher on my iPad it’s iOS 13.2.3 and on my phone 12.4.1

[fossil cipher]

My iPad is already too old iOS 12 is the latest version. I have 12.4 on my iPhone and i'm still considering rooting it.

[rain ermine]

What devices do you have

[fossil cipher]

iPad air (first air) and iPhone 8 - don't want to upgrade, this is last device with 3D touch and I just love it.

Wbu?

[rain ermine]

iPad Pro 9.7 inch

iPhone 6+

[fossil cipher]

My mom has that!

That iPad is actually pretty good.

[rain ermine]

Update ur iPhone btw

Ye

I got it in 2016

[fossil cipher]

Oh she has the latest one

[rain ermine]

iPhone 8 supports iOS 13

[fossil cipher]

I know but I'm considering rooting it

[rain ermine]

Wuts rooting

[fossil cipher]

Jailbreak

[rain ermine]

Lol why

And what will this jailbreak do to it

[fossil cipher]

It will root it

;D

I can ssh into my phone as a root

[rain ermine]

[fossil cipher]

and change shit

[glass dragon]

aac is better than mp3

[rain ermine]

How

[fossil cipher]

By rooting it

[rain ermine]

I’m referring to ama’s random comment

[fossil cipher]

Oh, my bad.

[glass dragon]

Oh it's only random because I'm really late

aac compresses music in a way that retains better sound quality than mp3

[rain ermine]

Hmm

[glass dragon]

Hats why apple music is better than spotify

[rain ermine]

Apple Music uses aac?

[glass dragon]

Yes

[rain ermine]

Welp I just uploaded an mp3 there guess I’ll have to aac convert it

[glass dragon]

Apple is like the only company that uses aac

[rain ermine]

Apple is unique and different

[glass dragon]

There's no point converting an mp3 into aac. The damage is already done

[rain ermine]

Craaap

I have the Um

Wait nvm

I have it saved on ALC

Dammit I forgot to the name

Of the app

It has a cone

[glass dragon]

vlc

[rain ermine]

Lmao

Anyways I saved it on there

Is the damage already done

[fossil cipher]

If it's in mp3 than yeah

[rain ermine]

Any good websites to convert YouTube videos to aac?

[fossil cipher]

Mp3

only probably

Youtube is already compressing it

[rain ermine]

Explain how

[fossil cipher]

I don't know, it's theirs algorithm

top secret i imagine

[marsh linden]

Apple is like the only company that uses aac

That's spotify

[rain ermine]

Ew

[marsh linden]

It's not mp3 haha

https://support.spotify.com/us/article/high-quality-streaming/

[rain ermine]

Spotify isn’t bad but

I don’t use it

And also every non Apple user calls Apple users sheep

Like jeez what if its called preference?

[gusty ermine]

I don't use Spotify either

[fossil cipher]

I like apple because of their systems

[severe vortex]

Convertí youtube a WAV y después WAV a AAC debería resultar más fácil

[rain ermine]

The Apple ecosystem

Does wav compress the audio in any way?

[severe vortex]

It's lossless*

[rain ermine]

Ok

[glass dragon]

I didn't know Spotify had moved away from mp3

WAV isn't compressed at all, so it's a bit of a misleading statement to say it's lossless. But YouTube uses a really low bitrate - you can't undo that

[rain ermine]

How low?

[fossil cipher]

Ama you are too smart

Are you a hacker?

[glass dragon]

I think it's like 92kbps

It's very low

[fossil cipher]

96*

[glass dragon]

If you're going to pirate music from YouTube, you need to go all out and pirate lossless flac compressions

From a real website

[rain ermine]

Lossless is confusing my brain rn

[fossil cipher]

If WAV isn't compressed at all, then it's the highest possible quality rit?

[glass dragon]

I guess

[fossil cipher]

Then you can convert it to aac

and sustain the quality

[glass dragon]

but saving an mp3 as a wav file doesn't magically make the quality better

aac is lossy

[fossil cipher]

Oh yeah

I thought you meant like from WAV to different formats

not mp3 to wav

[glass dragon]

i didn't mean anything at all

you asked a question and I wanted to answer it as accurately as possible

just because something is wav doesn't mean it's the highest possible quality, because you don't know where that file came from

[fossil cipher]

stop

[glass dragon]

but the word "lossless" is a description of compression, and wav is uncompressed

[fossil cipher]

Yo

stop

:D

[glass dragon]

um

[rain ermine]

Ok

[glass dragon]

why?

[fossil cipher]

1. I know the difference between lossy and lossless - believe me, i understand basic computer stuff and a bit more ;D 2) You/nobody specified where the file came from and I meant it like that the file was originally wav and not something else so if you did convert it to something else it would be the same quality (or a bit worse depending on if it is lossy or lossless). Hopefully i clarified everything.

[glass dragon]

Nothing you said confused me

I was just making sure that my answer was as clear and accurate as possible

[fossil cipher]

Okay

[glass dragon]

if you meant "the file was originally wav", and nobody specified where the file came from, you can't really get mad at me for not assuming you meant that

[fossil cipher]

Agree, my apologies.

[glass dragon]

but if you ask an ambiguous question, I'm going to give a long winded answer that addresses each part of the ambiguity instead of making assumptions about what you might have meant

especially since isn't some private conversation where what you personally meant is important

what's important is how it could be interpreted by all the other people reading the question

i didn't want to just say "yes" and then epic think that any file that was .wav is some how special

[fossil cipher]

Language barrier

[rain ermine]

Amaroq uses big words I’ll try to translate it to kid speech

[fossil cipher]

You don't have to

[rain ermine]

Ooh...

[ashen mist]

Laptop falling apart. Ya es hora de construir un desktop

[heavy cloak]

Desktop is the way to go 😄

[last vault]

Estoy en el proceso de construirme un desktop también. Que baje los precios de algunas partes para Black Friday xd

[solemn badger]

Espera a la nueva generación de Intel

Vendrán mejor refrigerados espero

[glass dragon]

cuales specificaciones va a tener tu desktop, baumer?

[ashen mist]

Voy a construir el mío este finde

[severe vortex]

yeyyy que la disfruten!

[ashen mist]

Voy a comprar un monitor de mi colega mañana

Y también tengo que descargar Linux en mi usb

[ashen mist]

Speaking of computers

[gusty ermine]

😂 😂

Odio desde lo más profundo de mi alma a word

[ashen mist]

Y el resto de Microsoft también?

[gusty ermine]

Odio power point también, lo demás lo puedo soportar

[ashen mist]

Jaja

[mortal dagger]

Microsoft

[ashen mist]

@mortal dagger voy a construir un desktop este finde

[mortal dagger]

me parece un buen proyecto amigo

por favor no le instales Windows

[ashen mist]

Nah, voy a seguir con Linux Mint

[mortal dagger]

con qué DE

[ashen mist]

DE?

Desktop environment?

Cinnamon, creo

[silver crypt]

https://youtu.be/h6cSMVaV4u8

Perfecto

[gusty ermine]

Install gentoo

[tranquil canopy]

I'd just like to interject for a moment

[tardy stag]

the only reason i stick with Windows it's because Linux isn't native compatible with some games i often play

and, it fucking worked awfully on my laptop

trust me, i've tried 5 times to switch to Linux, but... man, it's impossible.

[tranquil canopy]

i would have ditched windows already if i could run anything i wanted on linux, but alas

[tardy stag]

If something works then fine
but if it isn't i have to spend 3 hours navigating into forums of every kind and color to search for a solution to something i just could do in 2 minutes on Windows

[tranquil canopy]

yep

[tardy stag]

no thanks really..
an O.S has to make my life simple, not harder

[tranquil canopy]

that's where I find it gets a bit.... cult-like for hardcore linux fans

like they enjoy things being pointlessly complicated

arguing that it's worth it because they can change the color of a few pixels

[gritty oriole]

[tardy stag]

plus is unbelievable how they couldn't create (or didn't want to) a unified method for installing things..

you have to go look for software you want in their app stores.
But i realized a lot of that software is outdated and never reuploaded with new versions, so in order to have the last update i had to go look for into the owner or creator of that software and see what can i do to install it

and a lot of times, how to install it is different

[tranquil canopy]

it's designed to make stackoverflow.com your homepage

[tardy stag]

like in Windows is easy and was always the same
a ".exe" file

for instance, the last time i tried to use Linux, i just wanted to install Telegram, Spotify and WhatsApp.
Telegram did not worked in their app store, so i had to go look for it in Telegram website
WhatApp did work
and Spotify didn't work so i had to do the same as i did with Telegram (go look onto the website)

i found there that installing Spotify and Telegram had totally different methods

'i find it really uncomfortable but ok' i said

a week later, my Linux stopped booting

so i had to go look for the reason of why the hell that happened

it seems that the distro i chose (which was based in another distro) had an issue with certain SSD drives than prevented Linux from Booting

i've nuked the O.S and go back to Windows

[tranquil canopy]

yeah... hard to make it your main OS unless the only thing you ever do with a computer is programming i guess

for the rest it's dependency/library hunting simulator

[tardy stag]

i'm not gonna lie, is useful for certain things but it gets tiring if you don't have the time to spend like 2 or 3 hours for go look every problem you may find

so in that case, Windows is a bliss

it has the balance between simplicity or things done and it's modifiable at a certain levle

not everything, but yes

[tranquil canopy]

i had this w7 install for 2 years now and it hasn't given me any single problem, can run whatever, never again

[ashen mist]

Linux es más fácil para mí

[tranquil canopy]

how

como desarrollador me imagino

[ashen mist]

No soy programador jaja

Para lo que hago, es más cómodo

Y si necesito Windows por alguna razón, siempre puedo usar una máquina virtual

[shrewd fjord]

imo linux has improved a lot over the years. these days, i rarely run into issues.

windows feels extremely sluggish by comparison. the only reason i use windows is for gaming

spotify, discord, firefox, skype are all working fine

[rain ermine]

Im having problems guys

I can’t save a transparent image to my iPad

Even when having turned it transparent

[mortal dagger]

plus is unbelievable how they couldn't create (or didn't want to) a unified method for installing things..
what?

for instance, the last time i tried to use Linux, i just wanted to install Telegram, Spotify and WhatsApp
¿sudo pacman -S telegram-desktop && yay -S spotify?

wsp no tiene app nativa solo porque es ilegal

¿por qué es ilegal? lamentablemente no es culpa de Linux

ni de su ecosistema

[eternal karma]

Does anyone have any good recommendations for Spanish books? I'd say I'm around a B1-B2 level if that helps

I want to read more in Spanish but I don't really know where to start

[gusty ermine]

I think there are books in spanish with english translation side by side

[exotic kite]

🆙 | MaciekR2D2 leveled up!

[gusty ermine]

Or at least with harder words translated

[eager wagon]

suena complicado 😄

@eternal karma https://drive.google.com/drive/folders/1vuv3_q95ZyW61E6ZLQel9RDJd_HecSlg

[gusty ermine]

Porque?

[eager wagon]

Son historias bastante pequeñas

[eternal karma]

buena práctica, gracias 🙂

[gusty ermine]

Duolingo tiene podcasts en espanol con transcripcion

[eternal karma]

he estado escuchando Radio Ambulante por NPR

me gusta mucho

[marsh linden]

a

[eternal karma]

dammit english brain

betraying me again

gracias

[gusty ermine]

:b

[marsh linden]

Jaja

[gusty ermine]

Este radio ambulante se va bien

I might look into it later

Necesito aprender más tiempos en español

Yo creo lo se solo pasado perfecto ahora y presente continuo

[eternal karma]

Ooh, tiempos verbales

No lo entendí

[gusty ermine]

Si verbales

Disculpe :b

[median trail]

I feel so tired today

[ashen mist]

Yo también

[median trail]

I went to sleep at midnight(this is way iver my bed time) and for some reason I wanted to stay awake watching videos on youtube

[ashen mist]

Qué videos?

[median trail]

about Maxwell equations and some others about astronomy

[ashen mist]

Ooo

Viste cosas educacionales

[median trail]

https://media.tenor.com/images/f36c813811e22e899cf5a788a6f3d359/tenor.gif

I've had just 5 hours of sleep, I need 3 more

[ashen mist]

Uf

[median trail]

💤

I also feel dizzy

[ashen mist]

Tomaste suficiente agua?

[median trail]

No haha

[eager wagon]

por qué te despiertas tan temprano entonces.. tienes clases?

[random canyon]

@scenic chasm

[scenic chasm]

stop pinging me

[ashen mist]

Hola

[tardy stag]

hola

[ashen mist]

Hay un problema?

[random canyon]

HOLA

[tardy stag]

No que yo sepa

hey, FBI, di tus clásicas palabras!

[random canyon]

hui

[ashen mist]

Fidelity, Bravery, Integrity?

No sé a qué te refieres

[tardy stag]

"FBI, OPEN UP!"

[random canyon]

https://tenor.com/view/k08c-good-morning-gif-8431458

[tardy stag]

thanks!! nice day to you as well

[random canyon]

https://tenor.com/view/babyboycongrats-gif-8091265

":

[ashen mist]

@tardy stag oh jajajaj

[random canyon]

hello.

[ashen mist]

Hola

[fossil cipher]

lol

[celest bay]

https://www.wbur.org/news/2019/11/25/boston-dynamics-robot-dog-massachusetts-state-police

[rain ermine]

Just use water smh

[split mauve]

I thought one of those was found beaten till they weren't usable and thrashed all over the floor

[celest bay]

that was hitchhikerbot

[split mauve]

Oh right

Wait weren't those a meme before because they were barely able to move

[celest bay]

maybe?

[split mauve]

this
https://www.youtube.com/watch?v=4PaTWufUqqU

[gentle heath]

must be a fun job that

[celest bay]

oh yeah

[gentle heath]

senior robot abuser

[celest bay]

didn't know it was a meme

[gentle heath]

wym?

[split mauve]

"Oh hey what you applied for that you told me you got a job?
I uh, applied to abuse robots and kick them"

[celest bay]

I forgot that them testing the balance and crap was a meme lol

[gentle heath]

hey it's legit testing its just fucking hilarious

[celest bay]

yep haha

I've seen one of those in person (not a boston dynamics one)

https://www.youtube.com/watch?v=XMKQbqnXXhQ this guy

[lavish estuary]

@vestal pine

[median trail]

The best explanation of the concept of a limit I've found in a book so far

[eager wagon]

[gentle heath]

mmmm

Maths gods I must consult thee

need a hand

taken it as 1*(1+x^2)^n/2 and done by parts but can't get it to come together

anyone know the ritual to summon a veraniego

[marsh linden]

he muted himself

sorry boss

hes out of action

[gentle heath]

its doomed

assist me nexus

you're my only hope

[marsh linden]

err

ur saying that your method didnt work?

[gentle heath]

its the logical method

but it doesn't seem to end up like it should

[marsh linden]

so far ive gotten to 2^n/2 - int(0,1) of xn(1+x^2)

[azure rivet]

Nerd

[gentle heath]

(1+x^2)^(n/2 -1)

xn* that I mean

[azure rivet]

even bigger nerd

[gentle heath]

ur in the maths channel what u expect kid

[azure rivet]

shut it

im new to the server okay

idk what is what

[gentle heath]

cool

[azure rivet]

not really it’s bizzle

[gentle heath]

ah

nice

[azure rivet]

couldn’t be arsed

ye

[gentle heath]

lol

[azure rivet]

hate rai

fuckin shit bot

[exotic kite]

🆙 | biz leveled up!

[azure rivet]

nice

[gentle heath]

@ mods mute evasion

ban this cretin

[azure rivet]

fuck off

[gentle heath]

smh

[azure rivet]

bet someone actually muted me now lmao

[rain ermine]

Are you

Scouser

[gritty oriole]

hey I hate my life, welcome to the server

[tardy stag]

its a game yeah, but in order to make a simple "capturing" mechanic, i had to create 6 triggers lol, two of them are active just if other 2 aren't

it was really fun messing around with this

now when I've got time i would try creating a proper map and see how can i use this triggers to do something fun

the objective was that those red soldiers (or that little blue archer at the left) would be able to capture that grey flag there by just standing still near the flag

its kinda stupid, but idk i was bored and i wanted to share it even if it is lol

[mossy cloud]

It’s kind of like getting the sine and cosine reduction formulas

[abstract scaffold]

yep

[abstract scaffold]

although the question didn't want you to use trig sub, it might be easier to see the recursion relation through trig sub.

[median trail]

when proving limits properties we just assume that epsilon/whatever(depending on the property) exists because...?

[abstract scaffold]

trig sub/by parts

@median trail limit properties? like lim(a+b) = lim (a) + lim (b)?

for those, you assume the epsilon/delta conditions are satisfied for the LHS

and use those to try to epsilon/delta prove for the RHS

"assume" isn't the right word there. more like, "given that we have this limit, we have these epsilon/delta properties" now we are going to use algebra to show the RHS is also true.

[median trail]

I tried to prove this limit

I'm not sure if it's right

[abstract scaffold]

what's the limit, i cant quite read it @median trail

x^4 - 6x + 6 = 2 as x -> 1 ????

that seems dodgy already

1-6+6 = 2?

[median trail]

x^3 -5x+6

[cursive wave]

oooh maths

anyone wanna join an online reading group on abstract algebra 😂

@tardy stag did you get the game graphics from AoE?

[abstract scaffold]

@median trail your proof failed because

x^2 + x - 4 < (2+sqrt(2))(2-sqrt(2))
DOES NOT IMPLY
|x^2 + x - 4| < (2+sqrt(2))(2-sqrt(2)) [this line is false]

just plug in a hugely negative number for x and you'll see easily it's false

[median trail]

but I said 0<x<2

[abstract scaffold]

@median trail still doesn't work, plug in x = 0.1

|-3.89|=|3.89| = 3.89 NOT LESS THAN 1.99

[median trail]

oh what can i do to prove it?

[abstract scaffold]

im unsure to be honest

you can cheat and use other limit properties to split it up and use other lemmas

e.g. use 2 epsilon delta proofs then combine them

^but again, this seems a bit cheat

[median trail]

@abstract scaffold Actually the answer would be 4

like abs(x^2 + x - 4) < 4

[abstract scaffold]

wouldn't it be 2?
(2+sqrt(2))(2-sqrt(2)) = 2^2 - (sqrt(2))^2 = 4 - 2 = 2?

so x^2 + x - 4 < 2

but this does not imply abs(x^2+x-4)<2 as shown earlier by plugging in 0.1

@median trail

[median trail]

I did this, not sure if it's right

it seems to work

that one is better

[abstract scaffold]

@median trail 1.99 fails

[mossy cloud]

When you take the square root, i think you have to account for the negative square as well

[abstract scaffold]

you have to be careful when squaring with inequalities

and also square rooting

[mossy cloud]

Can't we just say abs(x^2+x-4)<4?

[median trail]

no

that works if 0<x<1

[abstract scaffold]

this is why i hate maths

[median trail]

it makes sense that 0<x<2 doesn't work

[celest bay]

[median trail]

because any x between 1 and 2 is less than 2

but if you use 0<x<1 then the graph behaves as expected

[abstract scaffold]

yep. as edsel said.

this is why squaring both sides is pretty fatal. (when one of the sides is negative)

[median trail]

there should be a way to proof thid

[abstract scaffold]

some limits are just really bullshit to prove

if you made the problem up yourself, then chances are it's gonna be pretty hard to solve via epsilon delta

[latent pulsar]

[mossy cloud]

I just tried the proof this way.

Any flaws with it?

[median trail]

I think it's okay

[abstract scaffold]

ah, nice spot. hmm. i don't see flaws yet

[median trail]

it makes sense

[mossy cloud]

I think you were trying so hard to find a perfect number K

but all you needed was to prove that there was a number K that was greater than abs(x^2+x-4)

First time doing this so I'm not 100% sure

ope I messed up

[median trail]

I think I just needed to graph the parabola

[mossy cloud]

min delta is supposed to be 1, e/4

not 4, e/4

Hey! I'm learning! A year ago, I thought doing this kind of stuff was impossible

[exotic kite]

🆙 | Coursite ♫ leveled up!

[abstract scaffold]

wait, i think i see a flaw

[mossy cloud]

oof

[abstract scaffold]

how did u justify this line

where the x^2 just vanished

[median trail]

ah

[mossy cloud]

Oh yeah, that's my bad. I was looking at edsel's work and skipped some work

[median trail]

yep

[mossy cloud]

That probably doesn't cut it for proofs doesn't it?

It's not a flaw if I can justify it right?

Just need to add some lines of work?

[abstract scaffold]

if u can justify it. but i think i found a flaw in advance

[mossy cloud]

Where?

[abstract scaffold]

gimme a sec

[mossy cloud]

oh ok

[abstract scaffold]

ah, it works actually

just needa justify

[mossy cloud]

Got it, thanks

[median trail]

well done

[mossy cloud]

I'm actually really happy I did it

[median trail]

Next time I'll just graph the parabola lol

[mossy cloud]

yass

[abstract scaffold]

@mossy cloud @median trail actually, there's a flaw somewehre else

we can't say it's less than epsilon/4,

hopes and dreams crushed

if |x-1||x^2+x-4| < K|x-1| it can mean two things with relation to epsilon

|x-1||x^2+x-4|<K|x-1|<epsilon (what we want)

or

|x-1||x^2+x-4|<epsilon<K|x-1|

so, therefore the proof is flawed

at least for choosing K = 4

yeah, this proof is pretty hard

[exotic kite]

🆙 | cat 沈博智 leveled up!

[gentle heath]

@abstract scaffold good shit

I got it in the end with smth kinda like your first method

[gusty ermine]

What program might you use to convert the Spanish audio in this video into Spanish text? https://www.youtube.com/watch?v=aoWWjQFA_DQ

[tardy stag]

http://www.comunicandonos.com.ar/articulo.php?art=e7acfd79777f2e49cfd3c2e803c44a3b&fbclid=IwAR2akAyCgISFsmT7_tESIEuo0Z3IT1DtCCKXk0iQg_HLQIwcOUu-t5j8kg4

[rain ermine]

[gentle heath]

@abstract scaffold hello mr clever how are you with your infinite series

got a couple of those that I could use someone elses eyes on

[tardy stag]

@cursive wave it is AoE lol

[abstract scaffold]

@gentle heath not too strong tbh

[gentle heath]

I'll let u have a see anyways

see if you can spot something I can't

[abstract scaffold]

sure thing

[gentle heath]

nasty fucker uno

nasty fucker dos

I only need to show convergence

or divergence

not finding actual values

[abstract scaffold]

im not sure if i did one of them correctly

as i said, im weak at these

change my n's to k's lmao

[gentle heath]

very nice

just

p series??

[abstract scaffold]

if you have sum 1/n^p

and 0<p<=1 it diverges

if p > 1, then it converges

[gentle heath]

I ended up along those lines but didn't have a quick way to show that 1/k^3 converged

ah shit yeah

we proved this in lecture we just never named it

it was just a result

thanku

[fossil cipher]

Nice.

[abstract scaffold]

again, im bullshitting here. i could be wrong.

[gentle heath]

close

we tried that

-k^1/4 diverges to -inf

[abstract scaffold]

ah yeah, true

not sure if i did it right this time

no nvm, that doesnt work either

it approaches 0 lmao when approaching infinity, so i solved nothing

[abstract scaffold]

third times the charm.

used the integral test

[gentle heath]

sexyyy

I was considering trying an integral test

but I'm not good with them

[abstract scaffold]

i got lazy and didnt write down all my proof well

[gentle heath]

not used them much that is

dw

im lazier

asking you to do it

ah I see

comparison

[abstract scaffold]

comparison combined with integral test

[gentle heath]

then take the comparison and show divergence by an integral test

nifty

is that first line saying >= ....../(k^1/4 * k-1/4)

to cancel it off?

[abstract scaffold]

I added k^3/4 on the bottom

so that k^1/4*k^3/4 become just 1 on the denominator

[gentle heath]

does it not just become k?

[abstract scaffold]

oh shit

hahhaa

[gentle heath]

am I missing stn

[abstract scaffold]

fuck. im stupid

[gentle heath]

i think it works the same if you take k^-1/4

still positive

[abstract scaffold]

yeah since k>=1

[echo moth]

uwu

[gentle heath]

so methods still there

gorgeous

thanks alot my bro

p!uwu

[echo moth]

uwu

[gentle heath]

ye thats what I though

t

[echo moth]

uwu

[gentle heath]

was that bizzle attempting to talk

[echo moth]

yeno da

[gentle heath]

ha

how tfs it not fixed?

[marsh linden]

Ryan hasn't been on yet

[gentle heath]

making the misbehaving children suffer is he

[marsh linden]

And a few other

Others

[gentle heath]

well mr f14s just shown me how to do the last q on my homework I couldn't manage so I guess I'll go write that up

cya

fuck u bizzle

muted little fuck

[vestal pine]

@gentle heath shut up

[gentle heath]

oh god oh fuck he's loose

[mossy cloud]

@abstract scaffold I think the proof should still work. I used Kabs(x-1)<ε because it was easier to work with than abs(x^2+x-4)*abs(x-1)<ε

and since abs(x^2+x-4)*abs(x-1)<Kabs(x-1)

then if I can show that Kabs(x-1)<ε then abs(x^2+x-4)*abs(x-1)<ε as well

[abstract scaffold]

@gentle heath well, if i integrated properly, keeping k on the denominator, it will still work, the integral is just "harder to integrate"

[mossy cloud]

http://tutorial.math.lamar.edu/Classes/CalcI/DefnOfLimit.aspx

I mostly followed this professor's method of doing this (Example 3 is where he introduces the K), but it's making sense to me (slowly and surely)

[lavish estuary]

Thanks for the resource

[mossy cloud]

[rain ermine]

Hey guys I have something simple

So I want to find how much 1 minute is equal too

When in fractions

How much is 1/60 of a minute

[mossy cloud]

a second?

[rain ermine]

But

I want to make that into a decimal out of 100%

[lavish estuary]

1/60*100

[rain ermine]

Um

100/60

Noooo it’s not an even number

1.6666666666667

[vocal yarrow]

Lol

[mossy cloud]

oops, it's sideways

But just multiply that number by 5/3

[rain ermine]

Which number?

[marsh linden]

not even a number

[rain ermine]

Ugh this is simple this shouldn’t be this hard

[abstract scaffold]

@mossy cloud the reason in that example they could add absolute value was because both sides of the inequality were both positive

in our case we have -4 < something < 2

one side neagtive, one side positive

and we cant conclude anything

they had 8 < x+5 < 10

so |x+5|<10 provided |x-4|<1

they had |x+5||x-4| < epsilon

[mossy cloud]

Yes, but it shouldn’t matter right? We’re just trying to choose a number K that would fit the criteria, and it shouldn’t matter if I choose K to be 4 because it still is greater than abs(x^2 + x - 4)

given abs(x-1)<1

[abstract scaffold]

@mossy cloud no wait, yeah ur right. we just need to "guess" a delta.

we already did the hard work finding K

so from there, we just guess delta is epsilon/4 and it works out

[mossy cloud]

yiss

[abstract scaffold]

@median trail ignore what i said eariler, it works.

[median trail]

yep

❤️

[mossy cloud]

It’s a good thing you forced me to take a closer look at my proof, because it’s getting clearer and clearer hmmm

Can’t wait till I hit the good ‘ol math classes with proofs

[lavish estuary]

Malwarebytes is offering a 50% discount for their yearly subscriptions

[gentle heath]

tempting with how much shit ive been pirating as of late

[silver crypt]

Always pirate

Pelisplay

Forever

Speaking of which I need some good shows to watch from somewhere other than spain.

It can be from any country too... cartoons, dramas, telenovelas, I really don't care

I'm gonna try to watch la casa de papel from Spain but that's like the only thing I got so. If anyone cares to help me just @

[ashen mist]

hola

[last vault]

[bronze burrow]

[broken whale]

[lavish estuary]

@silver crypt
Cartoons:
Legend quest (original Mexican cartoon)
Archer (dubbed)
Total Drama (dubbed)

Series:
La Casa de las flores (Mexico)
Siempre Bruja (Colombia)
El Jardín de bronce (Argentina)
Casados con hijos (Argentina)
Un gallo para Esculapio (Argentina)
Diablero (Mexico)
Ingobernable (Mexico)
El vato (Mexico)

Telenovelas:
Yo soy betty la fea (Colombia - the original Ugly Betty)
Montecristo (Argentina)
Corazon valiente (Mexico)*
La reina del sur (Mexico)*
El señor de los cielos (Mexico)*
La casa de al lado (Mexico)*
Pasión de gavilanes (Colombia)
La Reina del Flow (Colombia)
La Doña (Mexico)*
Rebelde Way (Argentina)

• Not strictly Mexican, most of these take place in the USA, usually a lot of Colombian and Venezuelan actors too

And I yes I do watch too many telenovelas

[silver crypt]

Ha nerd

But I love you

[lavish estuary]

💪🏿

[ocean otter]

So, how could I run C# without compiling?

[ashen mist]

I think you have to compile it @ocean otter it's not like a scripting language, as far as I know

[fossil cipher]

Yeah you have to compile it.

[gentle heath]

ide might have a built in interpreter

that or compile

[ocean otter]

I was looking for something fast, not even an executable, and visual studio did the trick

Thanks though

[fossil cipher]

wtf ;D

Then you asked a wrong question.

[marsh linden]

@waxen pulsar don't ask questions in that channel please

both are fine

[waxen pulsar]

hmm?

[marsh linden]

"The only difference between toward and towards is the s. Both spellings are correct, and they mean the same thing: in the direction of."

Hiciste una pregunta en #🎺・aotw-natives

[waxen pulsar]

Oh

[marsh linden]

ese canal es solo para colgar audios

[waxen pulsar]

Perdón

[marsh linden]

No pasa nada

(:

[waxen pulsar]

<3

I was reading it and I was so confused I had to stop

[marsh linden]

hahaha

[marsh linden]

lol

[abstract scaffold]

HAHAHAH

you may think it's useless. but forgetting plus C in DE is deadly.

in DE, ur likely to not "totally skip it though", as you need to actually solve the C_k values when you have initial/boundary conditions

well, the MIT integration bee doesn't require you to right +C or to use absolute values in logs. [can just assume it's non-negative for example, provided the intergral was indefinite]

[ashen mist]

At first I thought "+C" was referring to some obscure programming language

Then I saw "calculus" lol

[grizzled hedge]

Lool

That just happened to me this week

[old charm]

was Castro a dickhead to his people?

[gentle heath]

yeah went halves on a maccies n never paid his half

knobhead

[mossy cloud]

And then it's not +C when you're doing partial integration ope

[median trail]

@abstract scaffold If I'm solving an exercise that's not about calculus then why would I use the limit notation? like does that let me use any especial property or ...?

[waxen pulsar]

I'm laughing so hard

I hope my geology teacher doesn't mind creativity lmfao

[median trail]

the first two drawings from left to right look delicious

[vestal pine]

Why aren’t u purple now

[waxen pulsar]

cuz im blue (clue to im blue song)

[tranquil canopy]

da ba dee da ba daaaa

[gusty ermine]

@median trail a strawberry cake

[abstract scaffold]

@median trail sorry, I didn't quite understand you when not using limits notation.

[median trail]

I mean, why would I use it for? I mean, if I were not resolving calculus problems

I can get that I could use it for derivatives

but in what other contexts not related to derivatives nor integrals I would use it for?

[abstract scaffold]

Compound interest?

[median trail]

what do you mean?

[abstract scaffold]

Like the interest you get in your bank account. That limit approaches e.

Limits are useful to see how a function behaves in general around a point.

Limit also is useful in working out if a series diverges. (But this is calc lol)

[median trail]

for example, let's say that I'm studying biology and doing some research about molecules and I get this

f(x) = x-1/x^2-1 when x is 1

in that case I can solve the problem just using algebra, right?

[abstract scaffold]

That's still limits. Yes you have to use algebra to solve it bit it has a discontinuity at +/- 1

Plugging in one straight away is no good

And changing the function with algebra means it's completely continuous

Which it's not, so using limit notation hides that ambiguity

[median trail]

yeah but do I need to use limits notation?

oh

that makes sense

but wait

And changing the function with algebra means it's completely continuous

what do you mean?

I forgot how to quote

[abstract scaffold]

At x=1 it has a value

[median trail]

yes

but if I just use algebra people can tell that it's the same function too

[abstract scaffold]

But in your original function, f(x) DNE at x=1

Draw (x-1)/(x^2 - 1) vs 1/(x+1)

They're slightly different functions

[mortal dagger]

And changing the function with algebra means it's completely continuous

[abstract scaffold]

^

[mortal dagger]

they are algebraic equivalent but the domain of the functions arent the same

the right one has a domain R, the left one R - {1}

[abstract scaffold]

Yeah, domain is different, so you have to use limit notation to show you're keeping an eye on that domain difference

[median trail]

but the equal signs when using algebra doesn't help? like they are equal so... even if they are slightly different in just one point

[mortal dagger]

equivalent != equal

[median trail]

🙄

let's say I'm not into calculus but I solve my problem using algebra, is it a big deal to put it for people when looking at what I did

what's the difference between equal and equivalent?

[mortal dagger]

equal means "exactly the same", equivalent is like "we can assume they are the same in some aspects"

*math rigor left the channel*

[abstract scaffold]

Those equations are only equal at every point except at x=+/-1

But when you wanted to plug in x=1 , you violated your native working already

[median trail]

but people are going to notice the I solved the issue because when I tried to plug 1 in the function before using algebra it was indetermined but after that I get a value

[abstract scaffold]

"It's only indeterminate in limit land"

It's undefined if you straight plug it in

"Yes we'd probably understand what you're doing but there can be confusing steps if one were to just skim through your working"

[mortal dagger]

its a dangerous thing handle function as if were equations

[median trail]

so when working out indeterminate functions in order to use the equal sign then we have to use limits, but this is just to get the value when x = 1?

[abstract scaffold]

to get the value as x approaches 1

[median trail]

I don't get the last photo, why we can't say what y is, you mean y being equal to 0/0 or when trying to find out the value for x=1

[abstract scaffold]

if i were to just give you "that number" out of the blue

randomly

you cant do anything with it