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# help me, thanks in advance

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what is the summation of $$\sum_{n=1}^\infty \log\left(\dfrac{n(n+2)}{(n+1)^2}\right)$$?

what is the summation of $$\displaystyle\sum_{n=1}^{\infty} (\sqrt[n]{2} - 1)$$?

what is the summation of $$\displaystyle\sum_{n=1}^{\infty}\dfrac{1}{n^{(n+1)/n}}$$?

If there is no explicit answer just say it converges.

Mar 29, 2021

### 1+0 Answers

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1) The sum is -1/2.

2) The sum is 4*sqrt(2).

3) The sum is e^2.

Mar 30, 2021