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Question Number 42400 by abdo.msup.com last updated on 24/Aug/18

find lim_(n→+∞)  (1/(√n)) Σ_(k=1) ^n   (1/((√k) +(√(n−k))))

$${find}\:{lim}_{{n}\rightarrow+\infty} \:\frac{\mathrm{1}}{\sqrt{{n}}}\:\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{\mathrm{1}}{\sqrt{{k}}\:+\sqrt{{n}−{k}}} \\ $$

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