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Question Number 30432 by abdo imad last updated on 22/Feb/18
find  lim_(n→∞ ) Σ_(k=1) ^n   (k/n)e^(−(k^2 /n^2 ))    .
$${find}\:\:{lim}_{{n}\rightarrow\infty\:} \sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{{k}}{{n}}{e}^{−\frac{{k}^{\mathrm{2}} }{{n}^{\mathrm{2}} }} \:\:\:. \\ $$

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