Let f(x) = (x + 1)³. (a) Find Newton's method formula Pn = g(pn-1). (b) Start with Po = –1.1 and find p1 and p2. (c) Is the sequence converging quadratically or linearly? Explain your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 35E
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Let f(x) = (x + 1)³.
(a) Find Newton's method formula
Pn = g(pn-1).
(b) Start with po = -1.1 and find P1
and p2.
(c) Is the sequence converging
quadratically or linearly? Explain
your answer.
Transcribed Image Text:Let f(x) = (x + 1)³. (a) Find Newton's method formula Pn = g(pn-1). (b) Start with po = -1.1 and find P1 and p2. (c) Is the sequence converging quadratically or linearly? Explain your answer.
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