Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 3 - The Derivative - 3.1 Limits - 3.1 Exercises - Page 137: 57

Answer

$6$

Work Step by Step

Let us consider $x=3.001 \implies f(x)= 6.001000; \\x=3.01 \implies f(x)= 6.01000 \\x=3.1 \implies f(x)= 6.100000$ From the computed data it has been seen that as $x$ approaches $3$ from left and right, then $f(x)$ approaches $6$, so we have: $ LHL =\lim\limits_{x \to 3^{-}}f(x)=6$ and $ RHL =\lim\limits_{x \to 3^{-}}f(x)=6$ Since, $ LHL =RHL$ Therefore, $\lim\limits_{x \to 3}=6$
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