Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.4 Limits and Continuity - Preliminary Questions - Page 66: 1



Work Step by Step

$f(x)=x^{3}$ is continuous and from the definition of continuity, we have $\lim\limits_{x \to 2}f(x)=f(2)$ $\implies \lim\limits_{x\to 2}x^{3}=2^{3}=8$ Therefore the property that allows us to conclude that the limit is equal to 8 is continuity.
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