Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Review - True-False Quiz: 22


This is true.

Work Step by Step

At every point that the function is differentiable (where the derivative exists) the function is continuous as well. The function is continuous at $x=r$ if $\lim_{x\to r}f(x)=f(r)$. Thus if $f'(r)$ exists then $\lim_{x\to r}f(x)=f(r)$.
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