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Let (a) Show that f is continuous at 0. (b) Investigate graphically whether f is differentiable at by zooming in

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Let

(a) Show that f is continuous at 0.
(b) Investigate graphically whether f is differentiable at by zooming in several times toward the point (0, 1) on the graph of f.
(c) Show that f is not differentiable at 0. How can you reconcile this fact with the appearance of the graphs in part (b)?

S1*F if x0 f(x). if x= 0
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S1*F if x0 f(x). if x= 0

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a For f to be continuous we need lim f x f 0 1 We note that fo…View the full answer


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Calculus Early Transcendentals

Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

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Question Posted: June 30, 2010 02:25:43
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