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




Question Number 66799 by mathmax by abdo last updated on 19/Aug/19
let S_n =Σ_(k=1) ^n  (((−1)^k )/( (√k)))  find a equivalent of S_n  when n→+∞
$${let}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\left(−\mathrm{1}\right)^{{k}} }{\:\sqrt{{k}}}\:\:{find}\:{a}\:{equivalent}\:{of}\:{S}_{{n}} \:{when}\:{n}\rightarrow+\infty \\ $$

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