Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.5 - Continuity - 2.5 Exercises: 47

Answer

$ f(2) = 4$

Work Step by Step

$ \lim\limits_{x \to 2} 3f(x) + f(x) * g(x) = 36$ $ \lim\limits_{x \to 2} 3f(2) + f(2) * g(2) = 36 $ $ 3f(2) + f(2) * (6) = 36 $ $3f(2) + 6f(2) = 36 $ $ 9f(2) = 36 $ Solve for $f(2)$ $\displaystyle \frac{9f(2)}{9}= \frac{36}{9}$ $ f(2) = 4$
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