Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.2 Limits: A Numerical and Graphical Approach - Preliminary Questions - Page 53: 6

Answer

No

Work Step by Step

No. By examining values of $f(x)$ for $x$ close to but greater than $5,$ we can determine whether the one-sided limit $\lim _{x \rightarrow 5+} f(x)$ exists. To determine whether $\lim _{x \rightarrow 5} f(x)$ exists, we must examine the value of $f(x)$ on both sides.
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