Suppose that x 0 = 2/3, y 0 = 3, and y n = x n y

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Suppose that x₀ = 2\/3, y₀ = 3,

and y_n = √x_ny_n–1for n e N.

a) Prove that x_n ↓ x and y_n ↑ y, as n → ∞, for some x, y ∊ R.

b) Prove that x = y and 3.14155 < x < 3.14161.

(The actual value of x is π.)

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 03:55 AM

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Suppose that x 0 = 2/3, y 0 = 3, and y n = x n y

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a Notice x 0 y 0 1 If x n1 y n1 1 then y 2 n1 x n1 y n1 y n1 y n1 x n1 0 ...View the full answer

An Introduction to Analysis

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