Let f be continuous on I := (a, b) and assume f(x) > 0 for all x

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Let f be continuous on I := (a, b) and assume f(x) > 0 for all x ∈ I. Prove if L(f) = 0, then f(x) = 0 for all x ∈ I.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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