# Infinite L'Hôpital's Rule!

Calculus Level 1

Please help me! I kept using L'Hôpital's rule millions of times and I can't evaluate the limit below!

$\displaystyle \lim_{x \to 0} \frac {\cot x }{\csc x } = \ ?$

Details and assumptions:

• $$\frac{d}{dx}( \cot x ) = -\csc^2 x$$

• $$\frac{d}{dx}( \csc x ) = -\csc x \cot x$$

×