Determine if this series is convergent or divergent. If it converges, find the sum of the series.

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- February 6th 2010, 11:29 AMEm Yeu AnhInfinite series
Determine if this series is convergent or divergent. If it converges, find the sum of the series.

- February 6th 2010, 12:12 PMfelper
You can separate the serie in two other series. The first, is a geometric serie . The second converges by p-series test.

- February 6th 2010, 12:22 PMskeeter
note that this sum can be written as the sum of two series ...

the first sum is a convergent geometric series.

Geometric series - Wikipedia, the free encyclopedia

using the method of partial fractions, the second can be written as , a convergent telescoping series.

Telescoping series - Wikipedia, the free encyclopedia