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find-S-x-n-1-x-n-n-2-with-x-lt-1-




Question Number 45517 by maxmathsup by imad last updated on 13/Oct/18
find S(x)=Σ_(n=1) ^∞   (x^n /n^2 )  with ∣x∣<1  .
$${find}\:{S}\left({x}\right)=\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{{x}^{{n}} }{{n}^{\mathrm{2}} }\:\:{with}\:\mid{x}\mid<\mathrm{1}\:\:. \\ $$

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