Answer
There is no such limit.
Work Step by Step
$\lim\limits_{x \to 2}\frac{2x^3-2x^2+x}{4x-x^3}=\lim\limits_{x \to 2}\frac{2x^2-2x+1}{4-x^2}$
Since $2x^2-2x+1$ is unfactorable and $\lim\limits_{x \to 2}4-x^2=0$, the limit does not exist.
Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition
by LaTorre, Donald R.; Kenelly, John W.; Reed, Iris B.; Carpenter, Laurel R.; Harris, Cynthia R.
Published by
Brooks Cole
ISBN 10:
1-43904-957-2
ISBN 13:
978-1-43904-957-0
Chapter 1 - Ingredients of Change: Functions and Limits - 1.3 Activities - Page 31: 30
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