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