Module 9 :  Infinite Series, Tests of Convergence,  Absolute and Conditional Convergence, Taylor and Maclaurin Series
Lecture 26 :  Conditional convergence [Section 26.2]
26.2.7 Examples:
(i)
 Consider the alternating harmonic series
 

               
Clearly, for
              
the sequence is decreasing and
            
Hence, the above series is convergent.

(ii)
 Consider the series
 

            
This is an alternating series with
           
Since

the series is divergent.

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