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| PAGE: 762 | SET: Exercises | PROBLEM: 15 |
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.
.
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.
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