- #1

- 3

- 0

Please help!

the question is

lim x approaches to 0 of (x/sin x)^1/x^2

the answer is e^1/6

but my l'Hopital's process keeps giving me 0/0...

After taking the log of the limit, I have

====> 1/x^2 (log x - log sin x)

My first l'Hopitals process give me

====> 1/2x (1/x - cos x/ sin x)

2nd l'Hopitals give me

====> 1/2 (-(x)^-2 - 1/sin^2 x)

Am i doing something wrong? or do i need to keep going