Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 2: Limits and Continuity - Section 2.2 - Limit of a Function and Limit Laws - Exercises 2.2 - Page 56: 1

Answer

a.) undefined b.)1 c.)0 d.) 5

Work Step by Step

a.) the limit as x approaches 1 is undefined since the value jumps at x= 1 b.) We can see that value as x approaches 2 is 1 c.)The limit as x approaches 3 is 0., even though it is not defined at zero d.)The slope of this line is -1 from x=2 to x=3.So since it is coming from 1, we can expect that halfway down the line at(x=2.5), limit will be 5
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