: Let ƒ R → R be Riemann integrable on every interval [a, b] CR and define g: R → R by g(x) = ff. Prove that g is continuous. (Warning: you may not assume that f is continuous.)
: Let ƒ R → R be Riemann integrable on every interval [a, b] CR and define g: R → R by g(x) = ff. Prove that g is continuous. (Warning: you may not assume that f is continuous.)
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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![4. Let ƒ : R → R be Riemann integrable on every interval [a, b] CR and define
g : R → R by g(x) = f f. Prove that g is continuous. (Warning: you may not
assume that f is continuous.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69cce4ac-4bf6-4e6b-8636-bf160e045b58%2F7a4e08c9-85e2-44bd-ae9b-5a6ca7d11c87%2F3krbpe9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let ƒ : R → R be Riemann integrable on every interval [a, b] CR and define
g : R → R by g(x) = f f. Prove that g is continuous. (Warning: you may not
assume that f is continuous.)
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