Suppose that Show that fa{x) is continuous at x = 0 when a > 0 and differentiable

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Suppose that

Show that fa{x) is continuous at x = 0 when a > 0 and differentiable at x = 0 when a > 1. Graph these functions for a = 1 and a = 2 and give a geometric interpretation of your results.

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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 03:59 AM

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Suppose that Show that fa{x) is continuous at x = 0 when a > 0 and differentiable

Question:

fax" sin x=0.

Step by Step Answer:

Clearly f x x If 0 then x 0 as x 0 Thus by the Squeeze Theorem f x 0 f0 as x 0 ...View the full answer

An Introduction to Analysis

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