The series is .

A series  is called absolutely convergent if the series of absolute values is convergent.

The series is absolutely convergent ,when the series converges.

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Limit comparision Test :

Suppose we have two series and such that for all values of ,

then if then either both series converges or both deries diverges.

Use limit comparision test with and .

By the limit comparision test,  is absolutely convergent.

The series is absolutely convergent.