# Determining convergence of a series

1. Apr 20, 2008

### grothem

1. The problem statement, all variables and given/known data
Determine if the following is convergent or divergent
$$\Sigma\frac{n+5}{\sqrt[3]{n^7+n^2}}$$ n from 1 to infinity

2. Relevant equations
Test for divergence came up with limit = 0 so I know it converges.

3. The attempt at a solution
Ratio test came up inconclusive. Should I try rationalizing the denominator?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Apr 20, 2008

### th3plan

use a comparison test, and then u can see if diverges or converges