Show that the f(x)=x-(In x)^{x} =0, has at least one solution in the interval [4, 5].
Show that the f(x)=x-(In x)^{x} =0, has at least one solution in the interval [4, 5].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
This is a two part question please help. Part a is one image, b is the second image
![Show that the f(x)=x-(In x)^{x} =O, has
at least one solution in the interval [4,
5].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba13667f-f60c-45eb-87f2-7662478f2e6d%2Fccfda567-fc28-4c25-a890-87677590b69d%2Fedp95ti_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Show that the f(x)=x-(In x)^{x} =O, has
at least one solution in the interval [4,
5].
![For f(x)=x-(In x)^{x} =O, How many
iterations are necessary of an accuracy
of 10-5 in [4, 5].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba13667f-f60c-45eb-87f2-7662478f2e6d%2Fccfda567-fc28-4c25-a890-87677590b69d%2Feyb355b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For f(x)=x-(In x)^{x} =O, How many
iterations are necessary of an accuracy
of 10-5 in [4, 5].
Expert Solution
Step 1
There are more than one question. We will solve the first one.
Given, , we need to establish existence of one root in [4,5] .
Step by step
Solved in 3 steps with 1 images
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