Another limit of sums

Calculus Level 3

limn1n2015k=1n(k+2015)2014\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 ab\dfrac{a}{b} where aa and bb are two coprime natural numbers. Find a+b.a+b.

×

Problem Loading...

Note Loading...

Set Loading...