Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.5 The Limit of a Function - 1.5 Exercises - Page 61: 33


$\lim\limits_{x \to 1}$ $\frac{2-x}{(x-1)^{2}}=\infty $

Work Step by Step

The numerator is positive for $x<2$, and as the denominator is positive for all $x$. Since as $x$ tends to one the denominator tends to $0$, the limit is positive infinity.
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