## Calculus 10th Edition

Published by Brooks Cole

# 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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