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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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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.
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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