Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.3 Exercises - Page 68: 96

Answer

Please see below.

Work Step by Step

Calculating the limit of a function by direct substitution, one may reach $\frac{0}{0}$, which is called an indefinite form. It is called “indefinite” since one cannot evaluate the exact value of the limit from it since the quotient rule is valid when the denominator is not zero after direct substitution; that is$$\lim_{x \to c}\frac{f(x)}{g(x)}=\frac{M}{L}, \qquad L \neq 0.$$
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