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calcul-n-1-oo-U-n-U-n-1-n-E-n-1-E-n-




Question Number 181603 by SANOGO last updated on 27/Nov/22
calcul  Σ_(n=1) ^(+oo) U_n :  U_n =(1/n)(E((√(n+1)) −E((√n) )
$${calcul}\:\:\underset{{n}=\mathrm{1}} {\overset{+{oo}} {\sum}}{U}_{{n}} : \\ $$$${U}_{{n}} =\frac{\mathrm{1}}{{n}}\left({E}\left(\sqrt{{n}+\mathrm{1}}\:−{E}\left(\sqrt{{n}}\:\right)\right.\right. \\ $$

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