find-the-value-of-n-1-x-n-n-n-1-2n-1-2-find-the-value-of-n-1-1-n-2-n-n-n-1-2n-1-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 35040 by math khazana by abdo last updated on 14/May/18

find the value of Σ_(n=1) ^∞ (x^n /(n(n+1)(2n−1))) 2) find the value of Σ_(n=1) ^∞ (((−1)^n )/(2^n n(n+1)(2n−1)))

$${find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\:\:\frac{{x}^{{n}} }{{n}\left({n}+\mathrm{1}\right)\left(\mathrm{2}{n}−\mathrm{1}\right)} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{2}^{{n}} {n}\left({n}+\mathrm{1}\right)\left(\mathrm{2}{n}−\mathrm{1}\right)} \\ $$

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