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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.
 Winter '10
 Kousha

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