Limits

[plush pecan]

this is what i tried

[runic hamlet]

A is goof

last step of B however

you have e^inf= inf

and inf-1 = inf

inf+1=inf

so its inf/inf

which is undetermined

before taking the limit i suggest factorizing numerztor and denominatir by the exp term

[plush pecan]

factorizing?

how would that look like

[runic hamlet]

e^(..) * (1 - 1/e^(...)) for the top

[plush pecan]

So would the bottom just be e^(...)*(1/e^(...)+1)?

and the .. is the 2ag/m(infinity)? or don't include infinity

One more thing and i will be out, does d require any use of limits? Do i just use the exact same values of c and just change the a value?

[runic hamlet]

yeha

one thing : you use limits recklessly

[plush pecan]

how so

[runic hamlet]

first line of B is kinda wrong

lim when t-->inf= (something that depends on t)

also you should not replace everything right away especially when things go to 0 or infinity

exercises are often set up for you finding undetermined forms if you do this

[plush pecan]

How should i be writing the limit for b and when should i replace items with 0 and infinity

im sorry

that im not following too well

[runic hamlet]

transform the expression first

then take the limit at the end when

everything simplifies

like stzrt by factorizing as i said

simplify

then take the limit

[plush pecan]

Like this?

[runic hamlet]

well no

you write lim=

then something that is not the result of a limit

since there is a variable

oh nvm

like this indeed

but you messed up the calculations

[plush pecan]

where did I go wrong

[runic hamlet]

from the last line of the first column to the first of the second its not the same expression

but it gets corrected after so its ok

the issue is the last line

1/e^(inf) =|= e^(inf)

[runic hamlet]

and still what i said earlier is still holds for the first line of the second column

if you have lim x->a(f(x))= something

there shouldnt be any x in the something

[plush pecan]

Im still confused what i change for this

I can spot from the last line of Column 1 and the first like of column 2

i accidently wrote another +1

[runic hamlet]

yeah but thats not a big deal

[runic hamlet]

essentially for this issue

you should get rid of the first like

line*

and write the second dierectly

[plush pecan]

so get rid of this

[plush pecan]

and start with this?

[runic hamlet]

yeah

then for the last thing

whats the limit of 1/e^x when x goes tto infinity?

[plush pecan]

0?

because isn't 1/e^infinity supposed to be 0

[runic hamlet]

it is

e^inf=inf

and 1/inf=0

so replace them the right way and finish your exercise

[plush pecan]

thank u

One last thing, i dont know if u said yes to this. But for d do i need limits for this question

i would just change the a value for part c

and just compare right?

[plush pecan]

so my answer is supposed to be root gm/a? correct

not undefined

[runic hamlet]

yeah

[plush pecan]

yea to which one my question

[runic hamlet]

for D you mean

but yeah

[plush pecan]

alright

thank you so much

[mossy yacht]

.solved

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