- #1

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## Homework Statement

Show that ##\sum_{n=1}^{\infty}\frac{\log (1+1/n)}{n}## converges.

## Homework Equations

## The Attempt at a Solution

If I take for granted the inequality ##\log (1+1/n) < 1/n##, I can easily show that this converges. My problem is is that I am not seeing how to prove convergence another way...