Math.112HW10(2008-9,Spring)

Math.112HW10(2008-9,Spring) - ∞ X n =5 1 ( n-2)2 n/ 2 ....

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Homework 10 due on Monday, 11 May 2009 by 12:50 PM 1. Assume that the series X n =1 a n 3 n converges conditionally. (a) What can you say about the convergence of X n =1 ( - 1) n a n 3 n ? Explain your reasoning. (b) Determine whether the series X n =1 ( - 1) n n | a n | 2 n converges. (c) Is the series X n =1 a n n + 1 ( 2) 5 n convergent? 2. Find the exact value of the series
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Unformatted text preview: ∞ X n =5 1 ( n-2)2 n/ 2 . 3. Approximate the integral Z 1 e-x 2 dx by a Taylor polynomial with an error less than 10-3 . 4. Use Taylor series to determine whether the series ∞ X n =1 ‡ 1-e-n-3 / 2 · converges....
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This note was uploaded on 10/29/2010 for the course MATH 112 taught by Professor Ahmetguloglu during the Spring '10 term at Bilkent University.

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