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: 42

Answer

The function is continuous over the set of real numbers and has no discontinuities.

Work Step by Step

Using Theorem $1.12:$ Since both $f(x)=\dfrac{\pi x}{2}$ and $g(x)=\cos{x}$ are continuous over the set of real numbers; then $g(f(x))=\cos{\dfrac{\pi x}{2}}$ is continuous over the set of real numbers.
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