# Manipulative limit

Calculus Level 3

$\large \displaystyle\lim_{x\to0} \left( \dfrac{e^{x^2}-\sqrt{\cos{(5x)}}}{x\sin{(x)}}\right)$

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

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