Module 9 :  Infinite Series, Tests of Convergence,  Absolute and Conditional Convergence, Taylor and Maclaurin Series
Lecture 27 :  Series of functions [Section 27.1]
 

The series is convergent, by the ratio test, for and divergent for .. It is also convergent for . Hence, it is convergent for and

   
 
  Practice Exercises:
1.

Find the radius of convergence of the power series:

(i)
(ii)
(iii)
(iv)
(v)
  Answers
2.
 Find the interval of convergence of the following power series:
(i)
(ii)
(iii)
1
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