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

Since

the series is convergent by ratio test. Also

the series is divergent by ration test.

(ii) Consider the series
 

.

For this series, the convergence/ divergence is difficult to analyze using, ratio test. However,

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