Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 2 - Limits - 2.3 Techniques for Computing Limits - 2.3 Exercises - Page 76: 10


$\displaystyle \lim_{x\rightarrow 3^{-}}f(x)=4,\quad\lim_{x\rightarrow 3^{+}}f(x)=5$

Work Step by Step

As x approaches 3 from the left, $f(x)=4$, a constant function, so $\displaystyle \lim_{x\rightarrow 3^{-}}f(x)=4$ As x approaches 3 from the right, $f(x)=x+2$, a linear function, so $\displaystyle \lim_{x\rightarrow 3^{+}}f(x)=3+2=5$
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