- #1

Jacob_

- 1

- 0

## Homework Statement

For which p > 0 does the sum

[itex]\displaystyle\sum\limits_{k=10}^∞ \frac{1}{k^p(ln(ln(k)))^p}[/itex]

converge?

## Homework Equations

1/k^p converges for p > 1.

## The Attempt at a Solution

I'm not really sure where to start. I want to use a comparison test with the p-series, but ln(ln(k)) < 1 for k < e^e, so the equation isn't greater or less than 1/k^p for the entire sum interval.