Calculus 8th Edition

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

Chapter 1 - Functions and Limits - 1.5 The Limit of a Function - 1.5 Exercises - Page 60: 19

Answer

$\frac{1}{2}$

Work Step by Step

First, we separate the values they give us into two categories, one that goes to 3 from the left and one that goes to 3 from the right. From the first table of values, we can see that as x goes to 3 from the left hand side, y goes to $\frac{1}{2}$. From the second table of values, we can see that as x goes to 3 from the right hand side y goes to $\frac{1}{2}$. Therefore, we can conclude that $\lim\limits_{x \to 3}$f(x) = $\frac{1}{2}$.
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