Prove that [tex]\sum \frac{1}{n}\log(1+\frac{1}{n})[/tex] converges.(adsbygoogle = window.adsbygoogle || []).push({});

I tried a batch of tests, but none works. Last time Raabe's test was give to me upside down. I wonder if any other tests are give to me wrongly as well.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Does SUM log(1+1/n)/n converge?

**Physics Forums | Science Articles, Homework Help, Discussion**