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calculate-S-n-p-1-n-p-1-p-p-2-2-find-lim-n-S-n-




Question Number 36908 by prof Abdo imad last updated on 07/Jun/18
calculate S_n = Σ_(p=1) ^n   (p/(1+p +p^2 ))  2) find lim_(n→+)  S_n   .
$${calculate}\:{S}_{{n}} =\:\sum_{{p}=\mathrm{1}} ^{{n}} \:\:\frac{{p}}{\mathrm{1}+{p}\:+{p}^{\mathrm{2}} } \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+} \:{S}_{{n}} \:\:. \\ $$

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