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

The series is called the positive part of the series and the series is called the negative part of the series. Prove the following:

(i)

(ii)
If is convergent, then both and are convergent series (of non negative terms).
   
   
21