Calculus: Early Transcendentals 8th Edition

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

Chapter 2 - Section 2.2 - The Limit of a Function - 2.2 Exercises: 25

Answer

$\lim\limits_{θ \to 0} \frac{sin 3θ}{tan 2θ} = 1.50$

Work Step by Step

θ | f(x) -0.5 | 0.64 -0.01 | 1.50 -0.001 | 1.50 -0.0001 | 1.50 $\lim\limits_{θ \to 0^{+}} f(θ) = 1.50$ θ | f(x) 0.5 | 0.64 0.1 | 1.46 0.001 | 1.50 0.00001 | 1.50 $\lim\limits_{θ \to 0^{-}} f(θ) = 1.50$ $\lim\limits_{θ \to 0} \frac{sin 3θ}{tan 2θ} = 1.50$
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