help!?!?!?!?!?
#limits
icy furnace
help!?!?!?!?!?
I'm assuming l'hospital's rule
viscid turret
can still use it tho
'subbing 'in' aint gonna work
youre gonna have 0 on the bottom
use lhopitals
swift root
you might have to explain what lhopitals is😭
zealous mural
you might have to explain what lhopitals is😭
$$\lim_{x \to a} \frac{f(x)}{g(x)} = \frac{0}{0} , \frac{\infty}{\infty}$$ \ then $$ \lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f’(x)}{g’(x)}$$
inner fableBOT
Xotiic
ivory lotus
Only if the limit is indeterminate
icy furnace
you might have to explain what lhopitals is😭
Basically u can differentiate the top and bottom of a fraction and they'll have the same limit
But this is further pure 1 for edexcel
swift root
**Xotiic**
this is lhopitals rule?
icy furnace
Not core pure
ivory lotus
this is lhopitals rule?
Yes
swift root
bc otherwise she wouldnt have given the question
icy furnace
What paper is this from?
icy furnace
Is it the old spec?
icy furnace
I'm not fully sure but they could've removed l'hospital's rule from core pure when the spec changed
swift root
its defo not on the spec
icy furnace
Cuz I don't see any other way to do it
swift root
and so far weve only done limits in terms of improper integrals
which isnt this
and prooving the first derivative obviously
icy furnace
Core pure doesn't have anything on limits does it?
swift root
it does for improper integrals
ivory lotus
Core pure doesn't have anything on limits does it?
Ehhh not really
swift root
and maybe differential equations
icy furnace
it does for improper integrals
Yeah but those are generally obvious
swift root
oh well i can use l'hopitals but shell probs mark me down
icy furnace
I mean like non-trivial limits
icy furnace
oh well i can use l'hopitals but shell probs mark me down
I mean u'll get the correct answer
ivory lotus
oh well i can use l'hopitals but shell probs mark me down
She shouldn’t
You will get full marks using any good method in the actual exam
icy furnace
And its the correct method
ivory lotus
You just have to show what you’re doing is valid
icy furnace
Yep
swift root
yeah true
its strange though bc there is 100% a method using cp1 content that will work
otherwise she wouldnt have included the question
zealous mural
Can some1 send cp1 limit content
icy furnace
Unless it’s series expansion
Oh that might be it
swift root
part a was expansion so that would make sense
icy furnace
part a was expansion so that would make sense
Ah 😭😭😭
ivory lotus
Ah and I see that the x^2 will cancel w the x^2 term from the ln(1+kx)
swift root
sorry probably shouldve mentioned that💀
ivory lotus
And everything else will go to 0
icy furnace
sorry probably shouldve mentioned that💀
Lolll
icy furnace
Ah and I see that the x^2 will cancel w the x^2 term from the ln(1+kx)
Oh that's actually really nice
swift root
Ah and I see that the x^2 will cancel w the x^2 term from the ln(1+kx)
so i sub in my expansion from a?
icy furnace
Much more elegant than l'hospital's
elfin zealot
Isn’t this cp2 not cp1?
ivory lotus
Yeh
ivory lotus
<@820719847905558558> <@561228592625745942> where do i go from here?
Divide top and bottom of the fraction by x^3