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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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 Spring '03
 MECothren
 Multivariable Calculus

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