Let I := [a, b] and let f : I R and g : I

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Let I := [a, b] and let f : I → R and g : I → R be continuous functions on I. Show that the set E := {x ∈ I : f(x) = g(x)} has the property that if (xn) ⊂ E and xn → x0, then x0 ∈ E.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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