Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.4 Limits and Continuity - Exercises - Page 67: 56



Work Step by Step

We are given the function: $f(x)=x\sin\dfrac{1}{x}+2$, $x\not=0$ Graph the function: The function is continuous on $(-\infty,0)$ and $(0,\infty)$. We notice that close to $x=0$ the function approaches $2$, therefore in order to make it continuous in $x=0$ we must take: $f(0)=2$
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