Why does 1/[n log(n)]^1.1 converge

[grossgermany]

Homework Statement

Prove that the series:
1/[n log(n)]^1.1 converges

Homework Equations

The Attempt at a Solution

We know that nlogn is equal to d[log(log(n))] and use the integral test to show that it diverges.
However, I have no idea how to deal with the 1.1th power.

 

[╔(σ_σ)╝]

n > 10

log(n) >1

Thus,

1/[(nlog(n))^(1.1)] < 1/ (n^1.1)