# Which convergence test to use

1. May 3, 2010

### mickellowery

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

∑(k(k+2))/(k+3)^2 I honestly have no idea where to start with this I was going to try a ratio test but I wasn't sure if it would be (k+1)(k+3)/(k+4)2*(k+3)2/(k(k+2)

2. Relevant equations

3. The attempt at a solution

2. May 3, 2010

### Dunkle

What is the limit as k goes to infinity of

$$\frac{k(k+2)}{(k+3)^{2}}$$ ?

What does this tell you?

3. May 3, 2010

### physicsman2

Big Hint: Going off of what Dunkle said, use Divergence Test.

4. May 4, 2010

### mickellowery

Yea I was trying my hardest to make this problem way harder than it needed to be. Thanks a lot for your help.