# Another series problem

1. Jan 24, 2007

### rcmango

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

Does this problem converge absolutely, conditionally, or does it diverge?

the equation: [URL [Broken][/URL]

2. Relevant equations

also, the hint is to first show that ln(1 + x) <= x if x > 0

3. The attempt at a solution

It looks like an alternating series. not sure what the hint is implying or if its converging.

Thanks for any help.

Last edited by a moderator: May 2, 2017
2. Jan 24, 2007

### Gib Z

Each term gets smaller and smaller, and converges to zero. It is absolutely convergent.

The ratio test will tell you it converges as well.

Last edited: Jan 24, 2007
3. Jan 24, 2007

### HallsofIvy

Staff Emeritus
Is that what you mean to say? Each term of