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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