Assignment 7

Assignment 7 - Math 138 Assignment 7 Fall 2008 The...

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Unformatted text preview: Math 138 Assignment 7 Fall 2008 The following questions are to be answered neatly and completely on standard size (8.5 by 11 inch, or metric equivalent) paper. Please insure that your name and ID number are clearly indicated on each page, and that all your pages are securely fastened together, staples are preferred. This assignment is due at 9:00 a.m. on Friday, November 14, 2008 . 1. a) Use the Integral Test to show that the series ∞ X n =2 ln n n 3 2 converges. b) Use the Corollary to the Integral Test (page 701 of the text) to determine an upper bound for the error if S 100 , the sum of the terms up to and including n = 100, is used to approximate the sum of the series in part (a). 2. a) Show that ∞ X n =1 cos 2 n e n + 1 is convergent by comparing to a suitable geometric series. b) Find an upper bound on the error if S 4 is used to approximate the sum of the series in part (a). (See page 708 of the text.) 3. Use any suitable convergence test(s) to determine whether the following series are absolutely conver-3....
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This note was uploaded on 10/21/2010 for the course MATH 138 taught by Professor Anoymous during the Fall '07 term at Waterloo.

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