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

  Proof:
 

If , we can find such that
             
The required claim follows with
             
This proves (i).

In case , given , there exists such that
             .
Thus,
             
 
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