Calculus (3rd Edition)

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

Chapter 2 - Limits - 2.2 Limits: A Numerical and Graphical Approach - Exercises - Page 55: 50


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Work Step by Step

We have to graph a function $f$ so that we have: $\displaystyle\lim_{x\rightarrow 1} f(x)=\infty$ $\displaystyle\lim_{x\rightarrow 3^{-}} f(x)=0$ $\displaystyle\lim_{x\rightarrow 3^{+}} f(x)=-\infty$ Therefore the left hand and right hand limits in $x=1$ must both be $\infty$, therefore we draw a vertical asymptote $x=1$. Graph the function:
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