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Unformatted text preview: to approximate the sum. 3 b) Approximate the sum of the series so that the error is at most 0.01. 4 Absolute and Conditional Convergence Defn. Absolutely Convergent A series ∑ a n is called absolutely convergent if Defn. Conditionally Convergent A series ∑ a n is called conditionally convergent if Theorem. If ∑ a n converges absolutely then ∑ a n converges. Tip: 5 Examples Determine if the following series converge absolutely, converge conditionally, or diverge. 1. ∞ X n =1 (1) n +1 n 2 2. ∞ X n =1 (1) n +1 3 √ n 6 3. ∞ X n =1 (1) n ( n !) 2 3 n (2 n + 1)! 4. ∞ X n =1 (1) n n 2 2 n + 1 7...
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This note was uploaded on 03/03/2010 for the course MATH 2224 taught by Professor Mecothren during the Spring '03 term at Virginia Tech.
 Spring '03
 MECothren
 Multivariable Calculus

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