A-n-n-n-2-1-2-n-n-2-2-2-n-n-2-n-2-Prove-lim-n-1-n-4-1-24-n-n-pi-4-A-n-1-4-2016-

Question Number 163608 by qaz last updated on 08/Jan/22

A_{n} = \frac{n}{n^{2} + 1^{2}} + \frac{n}{n^{2} + 2^{2}} + \dots + \frac{n}{n^{2} + n^{2}}

Prove :: \lim_{n \to \infty} \frac{1}{n^{4} {\frac{1}{24} - n [n (\frac{π}{4} - A_{n}) - \frac{1}{4}]}} = 2016