Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.3 One-sided Limits; Continuous Functions - 13.3 Assess Your Understanding - Page 910: 68

Answer

The cosecant function is continuous for all real numbers except from $n \pi$, where $n$ represents an integer.

Work Step by Step

We know that the cosecant function is undefined for $\pi,2\pi,3\pi, etc$. That is, for $n \pi$, where $n$ represents an integer. Therefore, it is continuous everywhere, except for $n \pi$, where $n$ represents an integer.
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