Module 9 :  Infinite Series, Tests of Convergence,  Absolute and Conditional Convergence, Taylor and Maclaurin Series
Lecture 26 :  Absolute convergence [Section 26.1]
 

Since
,
and the series is divergent, the series is also divergent.
Similarly, if

then

However,
,
and is convergent. Thus is also convergent.

 
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