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Question Number 35041 by math khazana by abdo last updated on 14/May/18

find the value of  Σ_(n=1) ^∞   ((n+1)/(n^3 (n+1)^2 ))

$${find}\:{the}\:{value}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{{n}+\mathrm{1}}{{n}^{\mathrm{3}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$

Commented by math khazana by abdo last updated on 15/May/18

the Q. is find value of Σ_(n=1) ^∞   ((n+3)/(n^3 (n+1)^2 ))

$${the}\:{Q}.\:{is}\:{find}\:{value}\:{of}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{{n}+\mathrm{3}}{{n}^{\mathrm{3}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$

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