Let f (0, ) R be differentiable on (0, 1) and assume that f(x) b as x 1 (b) Show that if f(x) a as x , then b 0 lim (f(x h) ))ib lim (f(x) x) b...

a Given 0 there exists n N such that if x n then fx b Hence if x n and ...

Let f : (0, ) R be differentiable on (0, 1) and assume that f(x)

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Let f : (0, ˆž) †’ R be differentiable on (0, 1) and assume that fÊ¹(x) †’ b as x †’ 1.

(b) Show that if f(x) †’ a as x †’ ˆž, then b = 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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Question Posted: Apr 07, 2016 11:03 AM

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Let f : (0, ) R be differentiable on (0, 1) and assume that f(x)

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lim (f(x + h)-))ib. lim (f(x)/x) b

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a Given 0 there exists n N such that if x n then fx b Hence if x n and ...View the full answer

Introduction to Real Analysis

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