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Question Number 106240 by pticantor last updated on 03/Aug/20

$$$$$$$$$$$$$$\mathit{l}\mathit{i}\underset{\mathit{n}\to +\mathrm{\infty }}{\mathit{m}}\underset{k=1}{\sum ^n}\frac{{(-1)}^{\mathit{k}+1}}{\mathit{k}}=????$$

Answered by Dwaipayan Shikari last updated on 03/Aug/20

$$1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}-\frac{1}{6}+....=log(1+1)=log\left(2\right)$$

Commented by Ari last updated on 05/Aug/20

but how so? could you explain please!

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