Precalculus (6th Edition) Blitzer

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

Chapter 11 - Section 11.2 - Finding Limits Using Properties of Limits - Concept and Vocabulary Check - Page 1152: 2


The correct fill for the blank provided in the statement is $ a $.

Work Step by Step

In case of limits involving an identity function, for any value of $ a $, as $ x $ gets closer to $ a $, the corresponding value of $ f\left( x \right)$ is just as close to $ a $. That is: For the identity function $ f\left( x \right)=x $, $\underset{x\to a}{\mathop{\lim }}\,f\left( x \right)=\underset{x\to a}{\mathop{\lim }}\,\text{ }x=a $. Where $ a $ is any number.
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