Limits going wild

Calculus Level 3

limx0(1x21sin2(x)) \lim_{x\rightarrow0}\left(\frac{1}{x^{2}}-\frac{1}{\sin^{2}(x)} \right)

If the value of the limit above is of the form ab-\frac{a}{b} for coprime positive integers aa and bb, then input the answer as a+ba+b.

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