Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 1 - Limits and Continuity - 1.5 Continuity - Exercises Set 1.5 - Page 99: 11

Answer

None.

Work Step by Step

This function is defined at every real number c and f(c)=$5c^{4}-3c+7$. Also, $\lim\limits_{x \to c}f(x)=\lim\limits_{x \to c}(5x^{4}-3x+7)$ = $5c^{4}-3c+7$ Thus $\lim\limits_{x \to c}f(x)=f(c)$ and hence f is continuous at every real number.
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