Please prove
lim x-> 0+ (ln cotx)/(e^csc(^2)x) = 0 using L'Hopital's Rule.
Thanks!
This is tough, but not impossible.
We first need to check that this is of indeterminate form.
It is, since the top and the bottom .
So we need to take the derivative of the top and the derivative of the bottom.
.
So
As .
So the bottom .
Therefore this whole limit tends to .