(a) Apply Hake's Theorem to conclude that g(x) := 1/x2/3 for x [0, 1] and g(0)...

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(a) Apply Hake's Theorem to conclude that g(x) := 1/x2/3 for x ∈ [0, 1] and g(0) := 0 belongs to R*(0, 1).
(b) Explain why Hake's Theorem does not apply to f(x) := 1/x for x ∈ (0, 1) and f(0) := 0 (which does not belong to R*[0, 1]).

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 11:10 AM

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(a) Apply Hake's Theorem to conclude that g(x) := 1/x2/3 for x [0, 1] and g(0)...

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Introduction to Real Analysis

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