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: 29

Answer

Check work for discussion.

Work Step by Step

The function has an infinite number of discontinuities. The discontinuities are at $x=n$ where $n=...-3, -2, -1, 0, 1, 2 ,3...$ ( n is an integer.) Note: Usually to check if a number is an integer or not, it is compared to a floor or ceiling function (the greatest integer function is a floor function). For example, if $z$ is not an integer, then $z\ne[[z]].$
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