Explanation Given: If initial guess is a 0 of f . Formula used: Newton method: x n + 1 = x n − f ( x n ) f ′ ( x n ) Calculation: If initial guess is a 0 of f . f ( x n ) = 0 Now, find the value of x 1 . x 1 = x 0 − 0 0 = x 0 So, x 1 = x 0 . Now, find the value of x 2

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4.7, Problem 2PQ

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Chapter 4 Solutions

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Check what happen in Newton’s Method if your initial guess happens to be a 0 of f .

Solution Summary: The author explains the formula of Newton's method to determine if initial guess is a 0 of f. Every term will remain zero in the Newton’s Method sequence.

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Check what happen in Newton’s Method if your initial guess happens to be a 0 of f.

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