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Unformatted text preview: (a) (10 points) 1 2 & 1 2 ± 3 + 1 2 ± 3 2 & 1 2 ± 3 3 + 1 2 ± 3 4 & 1 2 ± 3 5 + ±±± (b) (10 points) 1 X n =1 3 (2 n & 1)(2 n + 1) 3. Test if each the following series converges or diverges. Give reasons and clearly state if you are using any standard test. (a) (10 points) 1 X n =1 n ! (3 n + 1)! 1 (b) (10 points) 1 X n =2 p n n 2 & 3 4. Test the series for convergence or divergence. (a) (10 points) P 1 n =1 ( & 1) n sin & n (b) (10 points) P 1 n =1 ( & 1) n cos & n 5. Find the radius of convergence and the interval of convergence of the series. (a) (10 points) P 1 n =0 ( & 1) n x n n +1 (b) (10 points) P 1 n =0 ( x +1) n n 2 2...
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 Fall '11
 c
 Calculus, University of California, 50 Minutes, Riverside Department of Mathematics

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