sorry ill give more info
lim (sin(x)/x)^(1/X^2)
x->0
let y = (sin(x)/x)^(1/X^2)
ln y = (ln(sin(x)/x))^(1/X^2)
ln y = (ln(sin(x)/x))/(X^2)
ln y = (ln sin(x) - ln(x))/(X^2)
apply l'hopital's rule
= (cos(x)/sin(x) - 1/y)/2X
apply l'hotital's rule again
= (-sin(x)/cos(x)...
Homework Statement
lim (sin(x)/x)^(1/X^2)
x->0
Homework Equations
for the life of me i cannot get the correct solution
The Attempt at a Solution
Ive tried taking the log of both sides etc and working from there then applying l'hopitals rule until i get a result but the...