Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 11 - Review Exercises - Page 1179: 40


a) $-10$ b) $-10$ c) $-10$

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. a) $\lim_\limits{x\to -5^{-}} (x-5)=-5-5=-10$ b) $\lim_\limits{x\to -5^{+}} (x-5)=-5-5=-10$ c) From part (a) and (b) $\lim_\limits{x\to -5^{-}} (x-5)=\lim_\limits{x\to -5^{+}} (x-5)=-10$
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