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let-S-n-k-1-n-1-k-k-find-a-equivalent-of-S-n-n-




Question Number 39632 by abdo mathsup 649 cc last updated on 08/Jul/18
let S_n  = Σ_(k=1) ^n   (1/(k(√k)))  find a equivalent  of S_n      (n→+∞)
$${let}\:{S}_{{n}} \:=\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{\mathrm{1}}{{k}\sqrt{{k}}} \\ $$$${find}\:{a}\:{equivalent}\:\:{of}\:{S}_{{n}} \:\:\:\:\:\left({n}\rightarrow+\infty\right) \\ $$

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