Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.2 - The Limit of a Function - 2.2 Exercises: 2

Answer

$\lim\limits_{x \to 1-}$ f(x) = 3 means the limit of f(x), as x approaches 1 from the left, equals 3. $\lim\limits_{x \to 1+}$ = 7 means the limit of f(x), as x approaches 1 from the right, equals 7. In this situation, $\lim\limits_{x \to 1}$ f(x) doesn't exist because the value of $\lim\limits_{x \to 1-}$ f(x) $\ne$ the value of $\lim\limits_{x \to 1+}$ f(x) (3 $\ne$ 7)

Work Step by Step

Box number 3 in One - sided limits section.
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