# Limit Revision

Calculus Level 3

$\displaystyle\lim_{x \rightarrow 0} \left( \dfrac{1}{\sin^2x} - \dfrac{1}{x^2}\right)$

If the limit above is equal to $$\dfrac ab$$, where $$a$$ and $$b$$ are coprime positive integers, find the value of $$a+b$$.

Submit your answer as 0 if you don't think the limit exist.

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