Inverse Trig Limits

Calculus Level 5

\[ \large \lim_{x \to 0} \left( \left \lfloor 100\ \frac{x}{\sin^{-1}(x)} \right \rfloor +\left \lfloor 100\ \frac{\tan^{-1}(x)}{x} \right \rfloor \right) =\ ?\]

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