MATH 1310 Final: Math 1310 Final Fall 2011

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31 Jan 2019
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Name : do not open this exam until you are told to do so, this exam has 19 pages including this cover. There are 30 problems: do not separate the pages of this exam. Xn=1 (a) 8 terms (b) 9 terms (c) 10 terms (d) 11 terms (e) none of these: if. Xn=1 (a) 5/2 (b) 5/2 (c) 15/2 (d) 15/2 (e) none of these. 3: which of the following are absolutely convergent series ? ( 1)n n. 4: find the maclaurin series for f (x) = x2 cos(x3/2). (a) Xn=0 ( 1)n (2n + 1)! (x2/3)2n+3 (c) (x2/3)n n! Xn=0 ( 1)n (2n)! x2n+2: find the interval of convergence for ( 1)n+1 n + 1 (x 1)n+1. Xn=0 (a) ( , ) (b) (0, 2] (c) [0, 2) (d) (0, 2) (e) none of the above. 5: if an = n n2 + 1. , which of the following are true : an is bounded.

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