Indicate whether the following functions are Riemann integrable or not on [0,1]. (i) f(x)=x-2 (ii) g(x) = 1 if r is rational and g(x) = 0 if r is irrational and h(r) = -1 if}
Indicate whether the following functions are Riemann integrable or not on [0,1]. (i) f(x)=x-2 (ii) g(x) = 1 if r is rational and g(x) = 0 if r is irrational and h(r) = -1 if}
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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![Indicate whether the following functions are Riemann integrable or not on [0,1].
(i) f(x)=x-2
(ii) g(x) = 1 if r is rational and g(x) = 0 if x is irrational
(iii) h(x) = 1 if 0≤x≤ and h(x) = -1 if <a ≤1
(iv) L(x)=, for x #0 and L(0) = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc42a076-5c06-46af-a63c-d94f125ca0b9%2F7e0c5538-adf4-485b-a707-6ba5807dc7db%2Fu5yg2if_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Indicate whether the following functions are Riemann integrable or not on [0,1].
(i) f(x)=x-2
(ii) g(x) = 1 if r is rational and g(x) = 0 if x is irrational
(iii) h(x) = 1 if 0≤x≤ and h(x) = -1 if <a ≤1
(iv) L(x)=, for x #0 and L(0) = 0
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