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let-U-n-k-1-n-1-k-k-find-a-equivalent-of-U-n-when-n-




Question Number 53947 by maxmathsup by imad last updated on 27/Jan/19
let U_n =Σ_(k=1) ^n   (1/(k[(√k)]))  find a equivalent of U_n  when n→+∞
$${let}\:{U}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{\mathrm{1}}{{k}\left[\sqrt{{k}}\right]} \\ $$$${find}\:{a}\:{equivalent}\:{of}\:{U}_{{n}} \:{when}\:{n}\rightarrow+\infty \\ $$

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