Question Number 29836 by abdo imad last updated on 12/Feb/18
$${let}\:{give}\:{u}_{{n}} =\:\sum_{{q}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{n}^{\mathrm{2}} +{q}}\:\:{find}\:{lim}_{{n}\rightarrow+\infty} \left(\mathrm{1}−{nu}_{{n}} \right){n}. \\ $$