Calculus (3rd Edition)

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

Chapter 2 - Limits - 2.3 Basic Limit Laws - Preliminary Questions - Page 58: 3



Work Step by Step

Since the quotient law is $$ \lim _{x \rightarrow c} \frac{f(x)}{g(x)}=\frac{\lim _{x \rightarrow c} f(x)}{\lim _{x \rightarrow c} g(x)} $$ then it does not hold if the limit of the denominator is zero. That is, (a) is the correct answer.
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