Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.6 Implicit Differentiation - 2.6 Exercises - Page 166: 3

Answer

a.)$ \lim\limits_{x \to\infty}$= -2 b.)$ \lim\limits_{x \to\infty}$= 2 c.)$ \lim\limits_{x \to 1}$= +$\infty$ d.) $ \lim\limits_{x \to3}$= -$\infty$ e.)x = 1, x=3, y=2, y=-2

Work Step by Step

a.) Using the graph, as x approaches positive infinity, the y value approaches -2. b.) Using the graph, as x approaches negative infinity, the y value approaches 2. c.) Using the graph, as the x value approaches positive one from both the left and the right, the y value extends to positive infinity. d.) Using the graph, as the x value approaches positive three from both the left and right, the y value extends to negative infinity. \ e.)Equations are found by looking at the places in the graph where a line extends to either negative or positive infinity, either on the horizontal or vertical axis.
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