. Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (²) < 0, ƒ (x) has a root in [0]. To solve f(x) = 0 using fixed-point method, we may consider the equivalent equation x = (1 + cos x). Let g(x) = (1 + cos x). Since [g'(0)| < 1, the fixed-point iteration xn = g(xn-1), with xo = 0, will converge. What is the value of lim xn? (Answer must be in 8 decimal places) n-00 Your answer is Blank 1. Blank 1 Add your answer

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (-) < 0, f (x) has a root in
[0,]. To solve f(x) = 0 using fixed-point method, we may consider the equivalent
equation x = (1 + cos x). Let g(x) = (1 + cos x). Since [g'(0)| < 1, the fixed-point
iteration X₂ = g(xn-1), with xo = 0, will converge. What is the value of lim xn?
3
11-00
(Answer must be in 8 decimal places)
Your answer is Blank 1.
Blank 1 Add your answer
Transcribed Image Text:- Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (-) < 0, f (x) has a root in [0,]. To solve f(x) = 0 using fixed-point method, we may consider the equivalent equation x = (1 + cos x). Let g(x) = (1 + cos x). Since [g'(0)| < 1, the fixed-point iteration X₂ = g(xn-1), with xo = 0, will converge. What is the value of lim xn? 3 11-00 (Answer must be in 8 decimal places) Your answer is Blank 1. Blank 1 Add your answer
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,