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Let f : R → R be a function with the following property: |f (a) – f(b)| < 4|a – b| for all a, b E R.

Let f : R → R be a function with the following property: |f (a) – f(b)| < 4|a – b| for all a, b E R.

Advanced Engineering Mathematics
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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Prove that f is continuous everywhere.
Transcribed Image Text:Prove that f is continuous everywhere.
Let f : R → R be a function with the following property: \f(a) – f(b)| < 4|a – b| for all a, b E R.
Transcribed Image Text:Let f : R → R be a function with the following property: \f(a) – f(b)| < 4|a – b| for all a, b E R.
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