Assume that ex is differentiable on R with (ex) = ex. a) Show that the following function

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Assume that ex is differentiable on R with (ex)Ê¹ = ex.
a) Show that the following function is differentiable on R with fÊ¹(0) = 0:

b) Do analogous statements hold for f(n)(x) when n = 2, 3,...?

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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 04:01 AM

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Assume that ex is differentiable on R with (ex) = ex. a) Show that the following function

Question:

f(x) = x = 0.

Step by Step Answer:

a fx 2e 1x2 x 3 is evidently continuous for x 0 Also by LHpitals Rule lim x0 fx lim x0 2x 3 e 1 x ...View the full answer

An Introduction to Analysis

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