# Series Test

1. Oct 29, 2008

### duki

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

$$\sum \frac{(-1)^{n+1}(n^2+4)^{1/3}}{(n^5+1)^{1/2}}$$

2. Relevant equations

3. The attempt at a solution

I got that it converges, because the limit is 0
Is that right?

2. Oct 30, 2008

### Staff: Mentor

You apparently are using the alternating series test. Have you established all of the following?
The a_n's are all positive.
a_n >= a_(n+1) for all n.
lim a_n = 0, as n approaches infinity.