Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.3 Basic Limit Laws - Exercises - Page 58: 8


$=\dfrac {1}{3}$

Work Step by Step

$\lim _{x\rightarrow \dfrac {1}{3}}\left( 3x^{3}+2x^{2}\right) =3\times \left( \dfrac {1}{3}\right) ^{3}+2\times \left( \dfrac {1}{3}\right) ^{2}=3\times \dfrac {1}{27}+2\times \dfrac {1}{9}=\dfrac {1}{9}+\dfrac {2}{9}=\dfrac {3}{9}=\dfrac {1}{3}$
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