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Question Number 29499 by abdo imad last updated on 09/Feb/18

find  lim_(n→+∞) (  (1/(√n)) + (1/(√(2n))) + (1/(√(3n))) +....+(1/(√n^2 )))

$${find}\:\:{lim}_{{n}\rightarrow+\infty} \left(\:\:\frac{\mathrm{1}}{\sqrt{{n}}}\:+\:\frac{\mathrm{1}}{\sqrt{\mathrm{2}{n}}}\:+\:\frac{\mathrm{1}}{\sqrt{\mathrm{3}{n}}}\:+....+\frac{\mathrm{1}}{\sqrt{{n}^{\mathrm{2}} }}\right) \\ $$

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