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 - Questions to Guide Your Review - Page 99: 3

Answer

According to given expression as x approaches c, f(x) approaches L. Here, x is a variable, c is a number, f(x) is the function under consideration, and L is another specific number called the limit. To write “approaches” as an arrow: as x→c , f(x)→L. The other is to use the limit notation . The definition is informal because it is not really a definition but a clear description to have conceptual and logical understanding of limit.

Work Step by Step

According to given expression as x approaches c, f(x) approaches L. Here, x is a variable, c is a number, f(x) is the function under consideration, and L is another specific number called the limit. To write “approaches” as an arrow: as x→c , f(x)→L. The other is to use the limit notation . The definition is informal because it is not really a definition but a clear description to have conceptual and logical understanding of limit.
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