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: $$\lim_\limits{x\to2}(5x-8)^3=(5(2)-8)^3=2^3=8$$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
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 - Page 1153: 11
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