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 - 1.5 Exercises - Page 88: 29

Answer

$x=-1$ is a removable discontinuity for the function $f(x)$.

Work Step by Step

Since$$f(x)=\frac{x^2-1}{x+1}=\frac{(x-1)(x+1)}{x+1}=x-1 \qquad x \neq -1,$$ the function $f(x)$ has a removable discontinuity at $x=-1$.
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