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

Lecture 26 : Absolute convergence [Section 26.1]

2.	Analyze the convergence of the following series using the ratio test:
(i)	.
(ii)	.
(iii)	.
	Answers
3.	Analyze the convergence of the following using the root test:
(i)	.
(ii)	.
(iii)	.
	Answers
4.	Prove the following:
(i)	For the p-series, both the ratio test and the root test tail, however the series is convergent.
(ii)	For the series, for ,
	for , , both the ratio test and the root test tail, but the series is divergent (by comparison test).