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Unformatted text preview: 3 3. Root Test Theorem 3.1. Let a n be a series with lim n n  a n  = L ( L is not necessarily a real number) (1) If L < 1 , then (2) If L > 1 or L = , then (3) If L = 1 , then Example 3.1. (problem 20) Determine if the series is absolutely convergent, conditionally convergent or neither. n =1 (2) n n n Section 11.6 Absolute Convergence and the Ratio and Root Tests 4 4. Varied Examples Example 4.1. (problem 14) Determine if the series is absolutely convergent, conditionally convergent or neither. n =1 (1) n +1 n 2 2 n n ! Example 4.2. (problem 22) Determine if the series is absolutely convergent, conditionally convergent or neither. n =2 2 n n + 1 5 n...
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This note was uploaded on 03/14/2011 for the course MAC 2312 taught by Professor Zhang during the Fall '07 term at FSU.
 Fall '07
 Zhang
 Calculus

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