Limits doubt(Q19)
How do I simply the leftmost portion of the inequality (the expression with cos)
32 Replies
@Apu
Note for OP
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I put the value in x and got stuck
Idk what to do
I tried factoring out the minus sign and applying 1-cos(2x)=2sin^2(x) but that also didn't work
Am I supposed to use trigonometric substitution here of some sort?
Using this method, a limit of -16 would exist IF in the question the argument of cos was 2x-4 instead of 2x+4
@Opt can you pls check
It's probably that ngl
Because afaik the question is incorrect
I tried putting the expression in wolframalpha and it agrees
Because cos(8) is a very weird thing to have
Alr
Thanks
Also, @Opt where do I practice questions on limits from? All pyqs are kind of mixed with other topics
Hmmm
You don't go for coaching na?
Ive solved arihant
That enough?
No
Have you done Continuity and Differentiability?
Not yet
Only fxns,itf and limits in calc
Wait lemme see if I have any material for this
I have Vedantu problems.
Tq
But it has continuity and diff
Just see if there are questions that don't involve it
Ye that's what I'm doing rn
There's a bunch of limit of sum type questions which are solved by integration.
the newton leibnitz formulae one?
Nah, not diff under the integral
Wait I'll type out the formula you want to use for that
O then i have not
im currently solving arihant and i think i should be fine for now
$$lim{n\to\infty}\frac{1}{n}\sum{k=0}^{an}f\left(\frac{k}{n}\right)= \int_{0}^{a}f(x)dx$$
Yes
this was also given in arihant
Opt
tq opt
Np np
also on a side note, how long will it take me to cover continuity and differentiability?
I have covered methods of differentiation in 11th but i have to brush it up once
Couple weeks ig. Lot of practice required for that chapter
Maybe a week if you do it constantly
O i see
ive covered det and matrices, ITF, fxns and limits till now
is my pace alr?
ah alr tq
+solved @Opt
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