Determine for which values of the following series converge and diverge.

and

Any suggestions will be appreciated

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- November 25th 2008, 02:48 PM #1

- November 26th 2008, 05:12 AM #2

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- November 26th 2008, 06:30 AM #3

You can either apply the Root or Ratio test to find that the interval of covnergence is , or you can use the fact that

Once again the Root, Ratio, or integral tests would work. Or you could note that is divergent and the only thing that will make it converge in this case is a "dominant" geometric series provided by , so