Show that converges, pointwise on R and uniformly on each bounded interval in R, to a differentiable

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Show that

converges, pointwise on R and uniformly on each bounded interval in R, to a differentiable function f which satisfies
|f(x) for all x ˆˆ R.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:09 AM

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Show that converges, pointwise on R and uniformly on each bounded interval in R, to a differentiable

Question:

f(x) = yr sin (-x-

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Since sinxk 1k xkk 1 the series converges uniformly on any c...View the full answer

An Introduction to Analysis

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