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 - Concept and Vocabulary Check - Page 1137: 1

Answer

The complete statement is, “The notation $\underset{x\to a}{\mathop{\lim }}\,f\left( x \right)=L $ is read as: the limit of $ f\left( x \right)$ as x approaches a is equal to the number L.”

Work Step by Step

Consider the provided limit notation, $\underset{x\to a}{\mathop{\lim }}\,f\left( x \right)=L $ Here, $ f $ is any function defined on some open interval containing the number $ a $. The function f may or may not be defined at a. The limit notation $\underset{x\to a}{\mathop{\lim }}\,f\left( x \right)=L $ means that as x gets closer to $ a $, but remains unequal to $ a $, then the corresponding value of $ f\left( x \right)$ gets closer to the number L.
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