Show that the following functions (properly defined when necessary) are in L[0, 1]. (a) x ln x/1

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Show that the following functions (properly defined when necessary) are in L[0, 1].
(a) x ln x/1 + x2,
(b) sin π x/ln x,
(c) (ln x)(ln(1 - x)),
(d) In x/√1 - x2.

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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 11:11 AM

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Show that the following functions (properly defined when necessary) are in L[0, 1]. (a) x ln x/1

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ab Both funct i ons are bounded on 0 1 use LHospital and c...View the full answer

Introduction to Real Analysis

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