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: 27


$ f(x) $ is left continuous at $ x=2$. Jump discontinuity at $x=2$.

Work Step by Step

One can see that $\lim _{x \rightarrow 2^-} f(x)=-1=f(2)$ $\lim _{x \rightarrow 2^+} f(x)=1\neq f(2)$ Hence, $f(x)$ has a jump discontinuity at $x=2$ and is left continuous at $ x=2$.
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