# hw8 - 1 n 2 2 n n 3 A series ∑ a n is deﬁned by the...

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MATH 138: Calculus 2 Assignment #8 Due: 12:30 p.m., Friday, November 19 Fall 2010 1. Determine whether the series is convergent or divergent (a) X n =1 ( - 1) n - 1 2 n + 1 (b) X n =1 ( - 1) n - 1 ln( n + 4) (c) X n =1 ( - 1) n n 10 n (d) X n =1 ( - 1) n 3 n - 1 2 n + 1 2. Determine whether the series is absolutely convergent, conditionally convergent or divergent. (a) X n =1 n 2 2 n (b) X n =1 ( - 1) n +1 4 n (c) X n =1 sin(4 n ) 4 n (d) X n =1 ( - 1) n e 1 /n n 3 (e) X n =1 n ! 100 n (f) X n =1 ( - 1) n
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Unformatted text preview: +1 n 2 2 n n ! 3. A series ∑ a n is deﬁned by the equations a 1 = 1 , a n +1 = 1 + cos n √ n a n . Determine whether ∑ a n converges or diverges. The following problems are only recommended, not for submission. • Stewart: Section 11.5 Exercises 3, 11, 15, 19; Section 11.6 Exercises 3, 7, 13, 17, 29....
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## This note was uploaded on 12/22/2010 for the course MATH 138 taught by Professor Anoymous during the Fall '07 term at Waterloo.

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