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 - Page 1153: 32

Answer

$-1$

Work Step by Step

Recall that if $ f $ is a polynomial function, then we have $\lim_\limits{x\to a}f(x)=f(a)$. In order to to find the limit, we will plug $ a $ into the function and then simplify. $\lim_\limits{x\to -1} [(x+2)^3(3x+2)]=[\lim_\limits{x\to -1} (x+2)^3] \times \lim_\limits{x\to -1} [(3x+2)]$ or, $= (1)^3 \times (-1)$ or, $= -1$
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