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 - 1.2 Exercises: 26

Answer

The graph is continuous at all values except for $x=\pi$.

Work Step by Step

Graph the three functions according to their domain restrictions. (see below) You can see that the graph is continuous at all points except where $x=\pi$. Thus, the limit exists for all values except for $x=\pi$, since the limit of the function as it approaches $\pi$ from the left is different from the limit of the function as it approaches $\pi$ from the right.
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