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Question Number 29836 by abdo imad last updated on 12/Feb/18

let give u_n = Σ_(q=1) ^n  (1/(n^2 +q))  find lim_(n→+∞) (1−nu_n )n.

$${let}\:{give}\:{u}_{{n}} =\:\sum_{{q}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{n}^{\mathrm{2}} +{q}}\:\:{find}\:{lim}_{{n}\rightarrow+\infty} \left(\mathrm{1}−{nu}_{{n}} \right){n}. \\ $$

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