Answer
$\lim\limits_{\Delta x\to 0}\dfrac{2(x+\Delta x)-2x}{\Delta x}=2.$
Work Step by Step
$\lim\limits_{\Delta x\to 0}\dfrac{2(x+\Delta x)-2x}{\Delta x}=\lim\limits_{\Delta x\to 0}\dfrac{2\Delta x}{\Delta x}=\lim\limits_{\Delta x\to 0}2=2.$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 1 - Limits and Their Properties - 1.3 Exercises - Page 68: 59
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