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Show That :

$$\sum_{n=1}^{\infty} \frac{1}{n 2^{2n+1}} = \ln \left(\frac{2}{\sqrt{3}}\right)$$

I could show convergence. (I dont need to show that this converges). However I couldn't figure how to show the value.

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    Did you try $\sum_{n=1}^{\infty} \frac{y^n}{n} = -\ln \left(1-y\right)$2012-05-23

3 Answers 3