Comparison of Series (9.4)

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Presentation transcript:

Comparison of Series (9.4) March 1st, 2017

Direct Comparison Test Thm. 9.12: Direct Comparison Test: Let for all n. 1. If converges, then converges. 2. If diverges, then diverges.

Ex. 1: Determine the convergence or divergence of each series by applying the direct comparison test. a) b) c)

Limit Comparison Test Thm. 9.13: Limit Comparison Test: Suppose that , , and where L is finite and positive. Then the two series and either both converge or both diverge.

Ex. 2: Determine the divergence or convergence of each series by applying the limit comparison test.