Another limit of sums

Calculus Level 3

\[\large \lim_{n\to \infty}\frac{1}{n^{2015}} \sum_{k=1}^{n}(k+2015)^{2014}\]

The previous limit is equal to a number of the form \(\dfrac{a}{b}\) where \(a\) and \(b\) are two coprime natural numbers. Find \(a+b.\)

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