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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→+∞](Q53947.png)
$${let}\:{U}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\:\frac{\mathrm{1}}{{k}\left[\sqrt{{k}}\right]} \\ $$$${find}\:{a}\:{equivalent}\:{of}\:{U}_{{n}} \:{when}\:{n}\rightarrow+\infty \\ $$