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The polynomial equation x3 - 5x + 1=0 has a root r with 0 < r < 1. Use an appropriate

Introduction to Real Analysis | 3rd Edition | ISBN: 9780471321484 | Authors: Robert G. Bartle, Donald R. Sherbert ISBN: 9780471321484 424

Solution for problem 14 Chapter 3.5

Introduction to Real Analysis | 3rd Edition

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Introduction to Real Analysis | 3rd Edition | ISBN: 9780471321484 | Authors: Robert G. Bartle, Donald R. Sherbert

Introduction to Real Analysis | 3rd Edition

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Problem 14

The polynomial equation x3 - 5x + 1=0 has a root r with 0 < r < 1. Use an appropriate contractive sequence to calculate r within 10-4.

Step-by-Step Solution:
Step 1 of 3

i\ t' \ te.( Y uOL \i uf rl> F L* \,*Ct(ri t-Y^\( Lr Lr'\ \- ")i- t-t\ / I r,e,,;) L" --- { 1 | )" );kt"r- ...\= (t ,'lX' F3 fiui Gre-cJ' $- aj r-)iI_,;1 @ (// \." '\'X e: cr (r.-',

Step 2 of 3

Chapter 3.5, Problem 14 is Solved
Step 3 of 3

Textbook: Introduction to Real Analysis
Edition: 3
Author: Robert G. Bartle, Donald R. Sherbert
ISBN: 9780471321484

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The polynomial equation x3 - 5x + 1=0 has a root r with 0 < r < 1. Use an appropriate