If Newton's method is used to find a root of f(x) = (x – 3)7 = 0, %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. If Newton's method is used to find a root of f(x) = (x – 3)7 = 0,
entl
a. Will Newton's method converge for xo close to the root r = 3?
Explain.
(K-3)7
= ー3a-3)
b. What is the order of convergence, if it converges?
メ=
c. Will Newton's method converge for all xo? Explain.
en =
any Xo
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