Comparing Series: Convergence or Divergence?

rcmango
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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 similiar, please help me choose what i need to compare it with.

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

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