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((π/4)−A


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Question Number 163608 by qaz last updated on 08/Jan/22
$A_n =(n/(n^2 +1^2 ))+(n/(n^2 +2^2 ))+...+(n/(n^2 +n^2 )) Prove:: lim_(n→∞) (1/(n^4 {(1/(24))−n[n((π/4)−A_n )−(1/4)]}))=2016$
$A_{n} = \frac{n}{n^{2} + 1^{2}} + \frac{n}{n^{2} + 2^{2}} + . . . + \frac{n}{n^{2} + n^{2}}$ $Prove :: \lim_{n \to \infty} \frac{1}{n^{4} {\frac{1}{24} - n [n (\frac{π}{4} - A_{n}) - \frac{1}{4}]}} = 2016$
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