Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 13 - Section 13.1 - Finding Limits Numerically and Graphically - 13.1 Exercises - Page 906: 32

Answer

(a) $6$ (b) $6$ (c) $6$

Work Step by Step

(a) Graph the functions as shown, as $x\to -2^-, f(x)\to 6$, $$\lim_{x\to-2^-}f(x)=6$$ (b) As $x\to -2^+, f(x)\to 6$, $$\lim_{x\to-2^+}f(x)=6$$ (c) $$\lim_{x\to-2}f(x)=\lim_{x\to-2^-}f(x)= \lim_{x\to-2^+}f(x)=6$$
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