The Past, The Present and The Future!!

Calculus Level 3

Compute limn2016(12015+22015++n2015)n20162016(12014+22014++n2014). \large \lim_{ n\to{\infty}}{\dfrac{ 2016(1^{2015}+2^{2015}+ \cdots +n^{2015}) - n^{2016}}{2016(1^{2014}+2^{2014}+\cdots+n^{2014})}}.

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