# Homework Help: Using Ratio Test to Decide Convergent/Divergent

1. Dec 8, 2011

### McAfee

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

3. The attempt at a solution

I got that the limit goes to infinity using the Ratio Test and that would mean B. But I'm not 100% percent sure. Just looking for some to verify my answer if I'm correct or not.

2. Dec 8, 2011

### SammyS

Staff Emeritus
Your limit is wrong, because your ratio is wrong.

$\displaystyle\frac{(n+2)!}{(n+3)!}=\frac{1}{n+3}$

3. Dec 8, 2011

### McAfee

Wow. I haven't used factorials in a while and forgot how they were used. Now looking at the problem I get L=0. That tells me that the series converges absolutely.

Thanks alot. There are so many things is math to remember when solving a problem.