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# prob12 - − 1 n 2 3 n x n 3 ∞ X n =1 − 1 n 1 4 n n 4 x...

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Math 151 Spring 2008 Problem Set # 12 Starred Problems are due on Friday, April 18 In problems 1-8 determine the radius of convergence and the open interval of convergence of the given power series (you need not investigate the convergence of the series at the endpoints of the interval) 1*. X n =1 2 n n x n 2. X n =1 ( 1) n
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Unformatted text preview: − 1 n 2 3 n x n 3. ∞ X n =1 ( − 1) n +1 4 n n 4 ( x − 3) n 4*. ∞ X n =0 ( − 1) n x 2 n +1 (2 n + 1)! 5. ∞ X n =1 1 e n ( x − e ) n 6*. ∞ X n =1 ( − 1) n +1 π n n 2 + 1 ( x + π ) n 7. ∞ X n =1 ( − 1) n 1 n ! x 2 n 8*. ∞ X n =1 r n − 1 2 n + 3 ( x − 4) n 1...
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