Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 11 - Section 11.1 - Finding Limits Using Tables and Graphs - Exercise Set - Page 1140: 54

Answer

$\lim_{x \to 0 }f(x)$ does not exist.
1585546023

Work Step by Step

To find $\lim_{x\to 0 }f(x)$, examine the graph of $f$ near $x=0$. As $x$ gets closer to $0$ from the left, the values of $f(x)$ get closer to $0$. As $x$ gets closer to $0$ from the right, the values of $f(x)$ get closer to $1$. We conclude from the graph that $\lim_{x \to 0 }f(x)$ does not exist because the left- and right-hand limits are unequal.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.