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 - Review Exercises: 60

Answer

$f(x)$ is continuous over an infinite number of intervals of the form: $(n, n+1)$ where $n$ is an integer.

Work Step by Step

$f(x)=[[x+3]].$ $f(x)$ has a nonremovable discontinuity at every integer value of $x$ but is continuous in between consecutive integer values. This shows that $f(x)$ is continuous over $(n, n+1)$ where $n$ is any integer.
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