Suppose that your first guess with Newton's method is lucky, in the sense that xo is a root of f(x) = 0. Assuming th f'(xo) is defined and not 0, what happens to x₁ and later approximations? Choose the correct answer below. O A. x₁ and later approximations will all be equal to xo. B. X₁ and later approximations will all be equal to 0. C. X₁ and later approximations will move to other solutions of the equation f(x) = 0. D. X₁ and later approximations will move away from the root.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Suppose that your first guess with Newton's method is lucky, in the sense that x is a root of f(x) = 0. Assuming that
f'(xo) is defined and not 0, what happens to x₁ and later approximations?
Choose the correct answer below.
A. X₁ and later approximations will all be equal to X.
B. X₁ and later approximations will all be equal to 0.
O C. x₁ and later approximations will move to other solutions of the equation f(x) = 0.
X1
and later approximations will move away from the root.
D.
Transcribed Image Text:Suppose that your first guess with Newton's method is lucky, in the sense that x is a root of f(x) = 0. Assuming that f'(xo) is defined and not 0, what happens to x₁ and later approximations? Choose the correct answer below. A. X₁ and later approximations will all be equal to X. B. X₁ and later approximations will all be equal to 0. O C. x₁ and later approximations will move to other solutions of the equation f(x) = 0. X1 and later approximations will move away from the root. D.
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