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: 22

Answer

The function has a discontinuity at $\pm 1$. Moreover the discontinuity is infinite because $\lim\limits_{t \to \pm1}=\infty $ .

Work Step by Step

Since $$ t^2-1=0 \Longrightarrow (t-1)(t+1)=0\Longrightarrow t=\pm1$$ then the function has a discontinuity at $\pm 1$. Moreover, the discontinuity is infinite because $\lim\limits_{t \to \pm1}=\infty $ .
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