# 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 $$a+b.$$

×