# Series convergence problem

1. Oct 16, 2013

### lukatwo

1. The problem statement, all variables and given/known data

So I need to determine if the series $\Sigma$$ln(1+e^{-n})/n$ converges.

2. Relevant equations

3. The attempt at a solution

I know it does, but cannot prove it. Wolfram says that the ratio test indicates that the series converges, but when I try to solve the limit I get that it equals 1(which is not conclusive). here

Last edited by a moderator: Oct 16, 2013
2. Oct 16, 2013

### HallsofIvy

Do you mean
$$\sum \frac{ln(1+ e^n}{n}$$

3. Oct 16, 2013

### Dick

The series you posted looks like ln(1+e^(-n))/n. The series you tested in Mathematics looks like ln(1+e^(1/n))/n. e^(-n) is pretty different from e^(1/n).

4. Oct 16, 2013

### lukatwo

No it's -n alright, but I've been switching them up along the way. Now I see my problem. Thanks