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Unformatted text preview: (a) b n + (1) n n B * (b) b 1 n 2 + (1) n 3 n B * Note: This is book problem 2. 2. Suppose that { a n } is monotone. Prove that { a n } converges i { a 2 n } converges. Show that this ** result does not hold without the monotonicity assumption. Note: This is book problem 3. 3. (a) Use book problem 5 and the Comparison Lemma to obtain another proof (not the books) * that if  c  < 1 then lim n c n = 0. (b) Use book problem 5 and the Comparison Lemma to prove that lim n nc n = 0. ** Note: This is book problem 6. It requires (and you can assume) book problem 5....
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This note was uploaded on 02/27/2012 for the course MATH 2 taught by Professor Staff during the Spring '08 term at Maryland.
 Spring '08
 staff
 Math

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