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Question Number 12109 by FilupS last updated on 13/Apr/17

$$\mathrm{show}\mathrm{that}:$$$$\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{{(-1)}^{n+1}}{n}=\ln \left(2\right)$$$$\mathrm{please}\mathrm{show}\mathrm{your}\mathrm{working}$$

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