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Unformatted text preview: A and B are series with positive terms. If where c is a finite number and c 0, then either both series converge or both diverge. The Alternating Series Test : If the alternating series: Satisfies: 1. B B for all n 2. lim B = 0 then the series is convergent. Ratio Test: 1. If L 1, then the series is absolutely convergent 2. If L 1, then the series is divergent. 3. If L = 1, then the Ratio Test is inconclusive; that is, no conclusion can be drawn about the convergence or divergence of the series using ratio test. Root Test: 1. If L 1, then the series is absolutely convergent 2. If L 1, or L = , then the series is divergent. 3. If L = 1, thatn the Root Test is inconclusive. Power Series Stuff:...
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This note was uploaded on 03/19/2008 for the course M 408 taught by Professor Hodges during the Spring '08 term at University of Texas.
- Spring '08
- Geometric Series