Newton's Method will fail to approximate the solution to f(r) O with initial guess To when: O f(x) is not differentiable at o. *0 = (Ox),fO O f(r) is not a polynomial. O2o is not close to the solution of f(x) = 0. O f(x) does not have a root.
Newton's Method will fail to approximate the solution to f(r) O with initial guess To when: O f(x) is not differentiable at o. *0 = (Ox),fO O f(r) is not a polynomial. O2o is not close to the solution of f(x) = 0. O f(x) does not have a root.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Newton's Method will fail to approximate the solution to f(x)
0 with initial guess o when:
O f(x) is not differentiable at ro.
Of (o)
= 0.
Of(x) is not a polynomial.
To is not close to the solution of f(x = 0.
O f(x) does not have a root.
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