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:

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