Simple power limit

Calculus Level 3

limx(xx2014+x20132014) \large \lim_{x\to \infty} \left ( x - \sqrt[2014]{x^{2014} + x^{2013}} \right)

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

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