Question Number 62202 by maxmathsup by imad last updated on 17/Jun/19
$${study}\:{the}\:{convergence}\:{of}\:\sum_{{n}\geqslant\mathrm{1}} \:\frac{\sqrt{{n}+\mathrm{1}}−\sqrt{{n}}}{{nln}\left({n}+\mathrm{1}\right)} \\ $$
study-the-convergence-of-n-1-n-1-n-nln-n-1-