Question Number 51980 by maxmathsup by imad last updated on 01/Jan/19
$${let}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{\mathrm{2}{n}+\mathrm{1}} \:\:\:\:\frac{\mathrm{1}}{\sqrt{{n}^{\mathrm{2}} +{k}}}\:\:{find}\:{lim}_{{n}\rightarrow+\infty} \:\:{S}_{{n}} \\ $$