Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.2 Exercises: 23

Answer

a) f(1)=2 b) Limit does not exist . c)f(4) does not exist. d)$\lim\limits_{x \to 4}$ f(x) = 2

Work Step by Step

a) f(1)=2 b) Limit does not exist because the limit on the left side does not equal limit on the right side. c)f(4) does not exist because there is a hole at x=4. d)$\lim\limits_{x \to -4}$ f(x) = 2, and $\lim\limits_{x \to +4}$ f(x) = 2, so the limit at x=4 is 2 even though f(4) doesn't exist.
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