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let-U-n-k-0-n-1-k-2k-1-determine-a-equivalent-of-n-when-n-




Question Number 73332 by mathmax by abdo last updated on 10/Nov/19
let U_n =Σ_(k=0) ^n  (((−1)^k )/( (√(2k+1))))  determine a equivalent of n when n→+∞
$${let}\:{U}_{{n}} =\sum_{{k}=\mathrm{0}} ^{{n}} \:\frac{\left(−\mathrm{1}\right)^{{k}} }{\:\sqrt{\mathrm{2}{k}+\mathrm{1}}}\:\:{determine}\:{a}\:{equivalent}\:{of}\:{n}\:{when}\:{n}\rightarrow+\infty \\ $$

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