... advanced ......calculus... prove that: Σ_(n=1) ^∞ (((−1)^(n−1) )/(n^( 3) ((( 2n)),(( n)) ))) = (2/5) ζ (3 )


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Question Number 145676 by mnjuly1970 last updated on 07/Jul/21

$. . . a d v a n c e d . . . . . . c a l c u l u s . . .$ $p r o v e t h a t :$ $\underset{n = 1}{\sum^{\infty}} \frac{{(- 1)}^{n - 1}}{n^{3} (\begin{matrix} 2 n \\ n \end{matrix})} = \frac{2}{5} ζ (3)$
	Answered by Kamel last updated on 09/Jul/21

	Answered by Kamel last updated on 09/Jul/21

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