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let-u-n-k-1-n-1-p-k-detetmine-a-equivalent-of-u-n-n-




Question Number 94657 by msup by abdo last updated on 20/May/20
let u_n  =Σ_(k=1) ^n (1/((^p (√k))))  detetmine a equivalent of u_n   (n→+∞)
$${let}\:{u}_{{n}} \:=\sum_{{k}=\mathrm{1}} ^{{n}} \frac{\mathrm{1}}{\left(^{{p}} \sqrt{{k}}\right)} \\ $$$${detetmine}\:{a}\:{equivalent}\:{of}\:{u}_{{n}} \\ $$$$\left({n}\rightarrow+\infty\right) \\ $$$$ \\ $$

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