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Question Number 28621 by abdo imad last updated on 28/Jan/18

let give u_n =(([(√(n+1])) −[(√(n])))/n)   find  Σ u_n   .

$${let}\:{give}\:{u}_{{n}} =\frac{\left[\sqrt{\left.{n}+\mathrm{1}\right]}\:−\left[\sqrt{\left.{n}\right]}\right.\right.}{{n}}\:\:\:{find}\:\:\Sigma\:{u}_{{n}} \:\:. \\ $$

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