Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 2: Limits and Continuity - Section 2.2 - Limit of a Function and Limit Laws - Exercises 2.2 - Page 57: 56

Answer

a) $1$ b) $0$ c) $\dfrac{16}{3}$

Work Step by Step

a) $\lim\limits_{x \to -2}(p(x)+r(x)+s(x)) = 4+0-3 =4-3= 1$ b) $\lim\limits_{x \to -2}p(x).r(x).s(x) =( 4)(0)(-3) = 0$ c) $\lim\limits_{x \to -2}\dfrac{(-4)p(x)+(5)r(x)}{s(x)} = \dfrac{(-4)(4)+(5)(0)}{-3}=\dfrac{16}{3}$
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