4.2. Convergence Tests

In this section we will list many of the better known tests for convergence or divergence of series, complete with proofs and examples. You should memorize each and every one of those tests. The most useful tests are marked with a start (*). Click on the question marks below to learn more about that particular test.

	Divergence Test (*)
	Comparison Test
	Limit Comparison Test (*)
	Cauchy Condensation Test
	Geometric Series Test (*)
	p Series Test (*)
	Root Test
	Ratio Test (*)
	Abel's Convergence Test
	Alternating Series Test (*)
	Integral Test

Interactive Real Analysis, ver. 1.9.5
(c) 1994-2007, Bert G. Wachsmuth
Page last modified: Mar 28, 2007