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: 3

Answer

a) True. b) True c) False. d) False. e) False. f) True. g) True.

Work Step by Step

a) True. Function f(x) approaches a single value as x approaches 0. b) True. Function f(x) approaches to single value 0 as x approaches 0, so the limit is 0. c) False. Function f(x) approaches to a single value 0 as x approaches 0, so the limit is 0. d) False. Limit does not exit. Function f(x) does not approach to a single value as x approaches 1. e) False. Limit does not exit. Function f(x) does not approach to a single value as x approaches 1. f) True. The function does have a limit for each value in the interval, except at endpoints, which are excluded in the interval. g) True. Limit does not exit. Function f(x) does not approach to a single value as x approaches 1.
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