assign4 - MAT 1322 A Assignment 4 (Due Wed. March 11th at...

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Unformatted text preview: MAT 1322 A Assignment 4 (Due Wed. March 11th at 8:30) Student Number: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. (a) an = cos 3 2+1 n (b) an = (−1)n n n3 + 5n Work: Answers: (a) (b) 2. Determine whether the series converges or diverges. If it converges, find the sum. ∞ ∞ (a) 2n + 5n 7n+1 n=1 (b) 3 n(n + 2) n=1 Work: Answers: (a) (b) 3. Determine whether the series converges or diverges. ∞ (a) 3 + sin(n) n3 + 2 n=1 ∞ n e−n (b) n=1 Work: Answers: (a) (b) 2 4. Determine whether the series is convergent or divergent. If it converges, is it absolutely convergent ? ∞ (a) (−1)n−1 n2 (n + 1)! n=1 ∞ (b) (−1)n n ln(n) n=2 Work: Answers: (a) (b) 5. Find the radius and interval of convergence of the series. ∞ (a) (−1)n (x − 2)n (n + 1)! n=0 ∞ (b) (−1)n xn 2n n2 n=1 Work: Answers: (a) (b) ...
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This note was uploaded on 09/28/2011 for the course MATH 1322 taught by Professor Kousha during the Winter '10 term at University of Ottawa.

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assign4 - MAT 1322 A Assignment 4 (Due Wed. March 11th at...

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