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 - Exercise Set: 11

Answer

$8$

Work Step by Step

Recall that if $f$ is a polynomial, then $\lim_\limits{x\to a}f(x)=f(a)$. Thus, we can find the limit by plugging $a$ into the function and simplifying: $$\lim_\limits{x\to2}(5x-8)^3=(5(2)-8)^3=2^3=8$$
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