# Those numbers are quite big

Calculus Level 4

$\large \displaystyle \lim_{x \rightarrow 0} \dfrac {\ln (\tan (\frac{\pi}{4} + 432394829x))}{\sin {3427954283x}}$

If the value of the limit above can be represented as $$\dfrac{a}{b}$$ for coprime positive integers $$a,b$$, find $$a+b$$.

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