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# h11-2 - x n 1 = x n 2 1 x n with x = 1 is a Cauchy sequence...

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COT5615 Mathematics for Intelligent Systems Fall 2011 Home Work Assignment 2: Due Monday 09/19/11 before class 1. Prove that the sequence, x n = 10 + ( - 1) n 1 n for n = 1 , 2 , ... is a Cauchy sequence. 2. Prove that the sequence,
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Unformatted text preview: x n +1 = x n 2 + 1 x n with x = 1 is a Cauchy sequence. 3. Prove that the sequence, x n +1 = x n 2-1 x n with x = 1 is not a Cauchy sequence. 4. Prove that reals are complete . 1...
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