Let I := [a, b] and let f : I R be a (not necessarily continuous)
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Let I := [a, b] and let f : I → R be a (not necessarily continuous) function with the property that for every x ∈ I, the function f is bounded on a neighborhood Vδx (x) of x (in the sense of Definition 4.2.1). Verify that f is bounded on I.
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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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