Module 9 :  Infinite Series, Tests of Convergence,  Absolute and Conditional Convergence, Taylor and Maclaurin Series
Lecture 26 :  Conditional convergence [Section 26.2]
26.2.2

Note (Tests for absolute convergence):

  The tests of section 26.2.1 namely, the comparison test, limit comparison test, ratio test, and root test, all are tests for absolute convergence.
26.2.3 Examples:
 

(i) The alternating harmonic series is conditionally convergent.
(ii) The series
            
    is absolutely convergent, since
           
    and is convergent.

(iii) Consider the series
              .
     Let
               .
   Then
               
1
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