M138Assign7W06

# M138Assign7W06 - MATH 138 Assignment 7 (2 pages) Submit all...

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MATH 138 Assignment 7 (2 pages) Winter 2006 Submit all problems marked * on Friday, March 10 1. Apply the n th Term Test or the Comparison Test to decide whether each series converges, converges absolutely, or diverges. *a) X n =2 n + 1 n - 1 b) X n =1 sin nx 2 n , x R *c) X n =1 2 n n 3 n d) X n =0 1 1 + 3 n e) X n =1 ± 1 2 - 1 n 2 ² *f) X n =0 cos( n 2 ) π n + 3 g) X n =2 n n - 1 h) X n =1 2 n n !5 n 2. a) Apply the Integral Test to determine whether or not each series converges. (i) X n =2 ln n n 2 * (ii) X n =1 ne - n (iii) X n =1 n 2 n 3 + 1 * (iv) X n =2 1 n ln n . *b) Suppose that S 5 is used to approximate the sum of the series in a)(ii). Find an upper bound on the error. 3. Apply the Ratio Test to determine whether each series converges, converges absolutely or diverges. *a) X n =0 1 1 + e n b) X n =1 ( - 2) n n 5 n +1 *c) X n =0 n ! ( -

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## This note was uploaded on 05/23/2010 for the course MATH 138 taught by Professor Anoymous during the Fall '07 term at Waterloo.

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M138Assign7W06 - MATH 138 Assignment 7 (2 pages) Submit all...

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