# Test for convergence of a series

1. Feb 5, 2012

### Michael_Light

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

2. Relevant equations

3. The attempt at a solution

I have no ideas how to continue. I also tried the comparison test but I don't know where to start. Please guide me...

2. Feb 5, 2012

### Dick

You want the limit of the ratio as n->infinity. Look at just the $\frac{(n+1)^k}{n^k}$ part. That's the same as $(\frac{n+1}{n})^k=(1+\frac{1}{n})^k$. What is that limit?