b) Show that the function f (x) = { * x² sin ! for x E (0, 1] for x = 0 is absolutely continuous on [0, 1].
b) Show that the function f (x) = { * x² sin ! for x E (0, 1] for x = 0 is absolutely continuous on [0, 1].
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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![b) Show that the function
x2 sin
or x € (0,1]
f (2) = { * sin |
for x = 0
is absolutely continuous on [0, 1].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd02ff7d5-f08d-4df5-9df9-a58ad10b1343%2Fa385dfdc-39cd-480b-8ca6-27a2928bbb0f%2Fuujxts9_processed.png&w=3840&q=75)
Transcribed Image Text:b) Show that the function
x2 sin
or x € (0,1]
f (2) = { * sin |
for x = 0
is absolutely continuous on [0, 1].
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