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Module 9 : Infinite Series, Tests of Convergence, Absolute and Conditional Convergence, Taylor and Maclaurin Series

Lecture 27 : Series of functions [Section 27.1]

(iv)
	Answers
3.	For the following power series, find the interval of convergence. If is the function represented by it in the
	respective interval of convergence, find and
	Answer
4.	Consider the power series
	Show that both the series have same interval of convergence. Find the relation between the functions represented by these series.
	Answer
5.	Bessel Function of order zero:
	Prove the following:
(i)	The series converges for all (use ratio test)
(ii)	Let denote the sum of this series. Show that satisfies the differential equation