Consider the Dirichlet function, introduced in Example 5.1.6(g), defined by f(x) := 1 for x (0,
Question:
(0, 1) rational and f(x) := 0 for x ∈ (0, 1) irrational. Use the preceding exercise to show that f is not Riemann integrable on [0, 1].
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Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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