#Limits 2

Calculus Level 3

limx1(1+x2+x)1x1x=abn\large \lim_{x \to 1} \left(\frac{1+x}{2+x} \right)^{\frac{1-\sqrt x}{1-x}} = \sqrt[n]{\frac{a}{b}}

The equation above holds true for positive integers aa, bb and nn, with aa and bb being primes. Find the value of a+b+na+b+n.

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