Question Number 39631 by abdo mathsup 649 cc last updated on 08/Jul/18
$${let}\:{S}_{{n}} \:\:=\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{\mathrm{1}}{\:\sqrt{{k}}} \\ $$$${find}\:{a}\:{equivalent}\:{of}\:{S}_{{n}} \:{when}\:{n}\:\rightarrow+\infty \\ $$