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let-u-n-k-1-n-e-k-k-find-a-equivalent-of-u-n-when-n-




Question Number 44468 by maxmathsup by imad last updated on 29/Sep/18
let u_n = Σ_(k=1) ^n   (e^(−k) /( (√k)))  find a equivalent of u_n  when n→+∞ .
$${let}\:{u}_{{n}} =\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{{e}^{−{k}} }{\:\sqrt{{k}}} \\ $$$${find}\:{a}\:{equivalent}\:{of}\:{u}_{{n}} \:{when}\:{n}\rightarrow+\infty\:. \\ $$

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