# Analysis Converging or diverging

1. Feb 1, 2009

### sara_87

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

Discuss the (absolute) convergence or divergence of hthe series whose nth term is:

(ln(n))^(-ln(n))

2. Relevant equations

3. The attempt at a solution

I want to use the integral rule. First i show that it is decreasing by differentiating the function (and realising it will be negative for all x) then i integrate (ln(x))^(-ln(x)) and show that the integral is finite non zero.
But how do i integrate (ln(x))^(-ln(x)) ??
Thank you