# Divergent Series

1. Apr 28, 2013

### eddybob123

Hi all, is there any way to find what the largest value of n is such that $$\sum_{k=1}^\infty\frac{1}{k^n}$$ is divergent? I don't need an answer, I need an approach to the problem.

2. Apr 29, 2013

### Staff: Mentor

Integral test.

It is well known that if n = 1, the series is the harmonic series, which diverges.