2. Prove that if f: I R is continuous on I, then |f|: I – R where |F(x) := |f(x)| Vz E I is continuous on I. Then find a function f(x) so that |f(x)| is continuous at some E while f(x) is discontinuou at 5.
2. Prove that if f: I R is continuous on I, then |f|: I – R where |F(x) := |f(x)| Vz E I is continuous on I. Then find a function f(x) so that |f(x)| is continuous at some E while f(x) is discontinuou at 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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![2. Prove that if f: I R is continuous on I, then |f: I R where
/():= |f(x)| Va E I
is continuous on I. Then find a function f(x) so that If (x)| is continuous at some
E while f(x) is discontinuou at .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b0185de-0645-4c2a-aea4-e046d61ab5cb%2Fae0b96d0-c546-42e1-96b2-f594c4cfe017%2Foq9rehi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Prove that if f: I R is continuous on I, then |f: I R where
/():= |f(x)| Va E I
is continuous on I. Then find a function f(x) so that If (x)| is continuous at some
E while f(x) is discontinuou at .
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