# Limit

Calculus Level 2

$\lim_{x\to2} \dfrac{\sqrt{1+\sqrt{2+x}} - \sqrt3}{x-2}$

If the value of the limit above is equal to $\dfrac 1{a\sqrt b}$, where $a$ and $b$ are integers with $b$ square-free, find $\dfrac{2016}{a\times b}$.

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