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1-calcul-n-oo-sn-k-n-1-2n-1-k-2-find-k-1-oo-1-k-1-k-




Question Number 181733 by SANOGO last updated on 30/Nov/22
1)calcul n−+oo: sn=Σ_(k=n+1) ^(2n)  (1/k)  2)find: Σ_(k=1) ^(+oo)  (((−1)^(k+1) )/k)
$$\left.\mathrm{1}\right){calcul}\:{n}−+{oo}:\:{sn}=\underset{{k}={n}+\mathrm{1}} {\overset{\mathrm{2}{n}} {\sum}}\:\frac{\mathrm{1}}{{k}} \\ $$$$\left.\mathrm{2}\right){find}:\:\underset{{k}=\mathrm{1}} {\overset{+{oo}} {\sum}}\:\frac{\left(−\mathrm{1}\right)^{{k}+\mathrm{1}} }{{k}} \\ $$

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