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Question Number 59167 by maxmathsup by imad last updated on 05/May/19
find the value of Σ_(n=1) ^∞   ((n^2  +1)/(n^3 (n+1)^2 ))
$${find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{{n}^{\mathrm{2}} \:+\mathrm{1}}{{n}^{\mathrm{3}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$

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