Newton's Method will fail to approximate the solution to f(z) 0 with initial guess ro when: Oco is not close to the solution of f(x) =0. O f(x) does not have a root. O f(x) is not differentiable at g- Of(2) is not a polynomial. Of(To) = 0.

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(z)
0 with initial guess o when:
O2o is not close to the solution of f(x) = 0.
O f(x) does not have a root.
Of(x) is not differentiable at 2o-
Of(x) is not a polynomial.
Of (To) = 0.
Transcribed Image Text:Newton's Method will fail to approximate the solution to f(z) 0 with initial guess o when: O2o is not close to the solution of f(x) = 0. O f(x) does not have a root. Of(x) is not differentiable at 2o- Of(x) is not a polynomial. Of (To) = 0.
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