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 - 1.2 Computing Limits - Exercises Set 1.2 - Page 70: 36

Answer

True

Work Step by Step

Rational functions are continuous at all points in their domain. Because $x=a$ is in the domain, $f(x)$, a rational function, is continuous at that point. One condition for continuity is that $\lim_{x \to a} f(x) = f(a)$. Thus, the statement is true.
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