University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Section 2.2 - Limit of a Function and Limit Laws - Exercises: 53

Answer

a)-10 b)-20 c)-1 d)$\frac{5}{7}$

Work Step by Step

a) $ \lim\limits_{x \to c}f(x)g(x) = 5(-2) = -10$ b) $ \lim\limits_{x \to c}2f(x)g(x)= 2(5)(-2) = -20$ c) $ \lim\limits_{x \to c}(f(x)+3g(x))= (5 +3(-2)) = -1$ d) $ \lim\limits_{x \to c}\frac{f(x)}{f(x)-g(x)} = \frac{5}{5-(-2)} =\frac{5}{7}$
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