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 - 1.4 Exercises: 99

Answer

Check work for reasoning,

Work Step by Step

a) The limit as x approaches c does not exist since the one-sided limits are not equal. b) Here the limit exists, but $f(c)$ is not defined and hence the function is not continuous. c) The limit at $x=c$ exists but is not equal to $f(c),$ hence the function is not continuous. d) The limit at $x=c$ does not exist because the one-sided limits are not equal.
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