If n>=2 and n⊂N . prove (1/2^2 )+(1/3^2 )+...(1/n^2 )<=n(1−(1/2)(1+(1/n)))^(1/n)


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Question Number 93315 by Shakhzod last updated on 12/May/20

$I f n >= 2 a n d n \subset N .$ $p r o v e \frac{1}{2^{2}} + \frac{1}{3^{2}} + . . . \frac{1}{n^{2}} <= n {(1 - \frac{1}{2} (1 + \frac{1}{n}))}^{\frac{1}{n}}$
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