Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.5 - Continuity - 2.5 Exercises - Page 124: 18

Answer

Discontinuous because the limit as x approaches -2 does not exist.

Work Step by Step

For f(x), as x approaches -2, the left-sided limit equals negative infinity and the right-sided limit equals positive infinity. Since the left-sided and right-sided limit do not equal, the limit does not exist and therefore the function is discontinuous at x=-2.
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