Let fn (x) := xn/n for x [0, 1]. Show that the sequence (fn) of differentiable

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Let fn (x) := xn/n for x ∈ [0, 1]. Show that the sequence (fn) of differentiable functions converges uniformly to a differentiable function f on [0, 1], and that the sequence (fʹn) converges on [0, 1] to a function g, but that g(1) ≠ fʹ(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 11:07 AM

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Let fn (x) := xn/n for x [0, 1]. Show that the sequence (fn) of differentiable

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Since fx 0 for all x 0 1 we have f1 0 A...View the full answer

Introduction to Real Analysis

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