Question

College Calculus question. refer to the image please!! Thank you!!

Answer 1

thank you in advance for any help!

Answer 2

is this l hospitals rule

Answer 3

I tried to do that. but the problem was the fraction as whole is squared
so it seems difficult to do expand and derivative

Answer 4

which part u have difficulty with ? first term 1-cos x/2x or 2nd term sin5x/4x ?

Answer 5

The problem is that I can not treat them as different parts since they are squared as whole.

Answer 6

without square, I could have just take Limit separately.

Answer 7

u can bring the limit inside the square function!

Answer 8

by L hopital rule

Answer 9

what do you mean?!

Answer 10

lim (f(x)^2) = [lim f(x)]^2

Answer 11

Oh I did not know that

Answer 12

now can u solve that ?

Answer 13

then I can take limit separately and do L hopital rule

Answer 14

yep, then square the answer

Answer 15

Yep I got it. Thank you for your help

Answer 16

welcome :)