University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Section 2.2 - Limit of a Function and Limit Laws - Exercises: 10

Answer

Can not conclude anything about $\lim\limits_{x \to 1}f(x)$ until we know the values of function f(x) near x = 1.

Work Step by Step

The existence and non-existence of the limit as x approaches to c does not depend on whether the function is defined or not defined at x=c. So, if $f(1) = 5$, it is not necessary that the limit should exist as x approaches 1.
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