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: 3

Answer

a) The limit of f(x) and x approaches three from the left side is infinity. b)The limit of f(x) and x approaches four from the right side is negative infinity.

Work Step by Step

Putting a - or + sign above the bounds of a limit indicates which side of the function we are approaching. For (a), as we pass through points with x values of 1, 2, 2.5, 2.9, 2.99, the limit gets closer and closer to positive infinity. For (b), as we pass through points with x values of 5, 4, 3.5, 3.1, 3.01, the limit gets closer and closer to negative infinity.
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