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Unformatted text preview: (a) X n =1 (1) n 2n ( n 21) n 2 + 1 . (b) X n =1 (1) n n + 1 n n . (c) X n =1 x n n ! , where x is some real number. 7. Let X n =1 a n be a convergent series of positive terms. Prove that (a) if ( n N )(  b n  a n ), then X n =1 b n is absolutely convergent; 2 (b) X n =1 a n x n is absolutely convergent for1 x 1....
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 Winter '10
 Spyros
 Mean Value Theorem, Limits

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