Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 2 - Limits - 2.3 Techniques for Computing Limits - 2.3 Exercises - Page 76: 3


For all $a$ in the domain of $r.$

Work Step by Step

Theorem 2.4.b states that $\displaystyle \quad \lim_{x\rightarrow a}\frac{p(x)}{q(x)}=\frac{p(a)}{q(a)},$ provided $q(a)\neq 0$. If $r(x)=\displaystyle \frac{p(x)}{q(x)}$, a rational function, then the statement of the theorem reads $\displaystyle \lim_{x\rightarrow a}r(x)=r(a)$, for all $a$ in the domain of $r.$
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