(6) Let g be defined on (5/8, 11/8). g(x)=x+0.8 sin.z. determine the (smallest possible) Lipschitz constant L. What can you say about the asymptotic rate of

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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6
Let g be defined on [5/8, 11/8).
g(x)=x+0.8 sin .z.
determine the (smallest possible) Lipschitz constant L. What can you say about the asymptotic rate of
convergence? How many iterations are required to increase the accuracy by one decimal place?
Transcribed Image Text:6 Let g be defined on [5/8, 11/8). g(x)=x+0.8 sin .z. determine the (smallest possible) Lipschitz constant L. What can you say about the asymptotic rate of convergence? How many iterations are required to increase the accuracy by one decimal place?
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