4. (a) Suppose that 0 < Xl < 1 and Xn+1 = 1 - VI - Xn...

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(a) Suppose that 0 < Xl < 1 and Xn+1 = 1 - VI - Xn for n E N. Prove that o < Xn+ 1 < Xn < 1 holds for all n EN.

(b) Suppose that Xl ;::: 2 and Xn+l = 1 + VXn - 1 for n E N. Prove that 2 ~ xn+1 ~ Xn ~ Xl holds for all n E N.

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 10:07 AM

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4. (a) Suppose that 0 < Xl < 1 and Xn+1 = 1 - VI - Xn...

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An Introduction To Analysis

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