Question Number 34693 by math khazana by abdo last updated on 09/May/18
$${let}\:{S}_{{n}} =\:\frac{\mathrm{1}}{{n}\sqrt{{n}}}\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\left[\sqrt{{k}}\:\right] \\ $$$${find}\:{lim}_{{n}\rightarrow+\infty} \:{S}_{{n}} \\ $$