# Simple power limit

Calculus Level 3

$\large \lim_{x\to \infty} \left ( x - \sqrt[2014]{x^{2014} + x^{2013}} \right)$

If the limit above can be expressed as $$-\frac ab$$ for coprime positive integers $$a$$ and $$b$$, find the value of $$a+b$$.

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