Comparing Series: Convergence or Divergence?

[rcmango]

Homework Statement

is the series convergent or divergent.
Sum from 2 to ∞ of 1/ [n(ln n)^.5]

Homework Equations

comparison test?

The Attempt at a Solution

Is it possible to use the comparison test for this problem. Also, could I compare this with something like: (1/[(ln n)^.5] that is very similar, please help me choose what i need to compare it with.

thankyou.

 

[d_leet]

The integral test seems appropriate for this one. Do you see why?