2. Using the iteration method to find the approximated root of the following equation: (x-1)e-1-0 Consider the following iteration equation: X -1+e Please prove 1) In the interval (1.2), there is only one root for this equation; 2) The iteration above can converge to a fixed point x'E[1,2].
2. Using the iteration method to find the approximated root of the following equation: (x-1)e-1-0 Consider the following iteration equation: X -1+e Please prove 1) In the interval (1.2), there is only one root for this equation; 2) The iteration above can converge to a fixed point x'E[1,2].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
3.
![2. Using the iteration method to find the approximated
root of the following equation:
(x-1)e-1-0
Consider the following iteration equation:
X. -1+e
Please prove
1) In the interval (1.2], there is only one root for this
equation;
2) The iteration above can converge to a fixed point
x'El1,2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2539454-f64f-484e-91ba-7eecd1024c3b%2F6659d6e8-049e-4a16-8e45-cbcb90f45ef4%2Fdoyhpd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Using the iteration method to find the approximated
root of the following equation:
(x-1)e-1-0
Consider the following iteration equation:
X. -1+e
Please prove
1) In the interval (1.2], there is only one root for this
equation;
2) The iteration above can converge to a fixed point
x'El1,2).
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