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find-lim-n-1-n-k-1-n-1-k-n-k-




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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