Show that the function g1(x) := x-1/2sin(1/x) for x [0, 1] and g1(0) := 0 belongs

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Show that the function g1(x) := x-1/2sin(1/x) for x ∈ [0, 1] and g1(0) := 0 belongs to R*[0, 1]. [Differentiate c1(x) := x3/2cos(1/x) for x ∈ [0, 1] and c1(0) := 0.]
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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