Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 14 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - 14.1 Finding Limits Using Tables and Graphs - 14.1 Assess Your Understanding - Page 877: 46

Answer

$\approx 0.80$

Work Step by Step

We have to determine the limit: $\displaystyle\lim_{x\rightarrow 1} \dfrac{x^3-x^2+3x-3}{x^2+3x-4}$ We use a graphing utility to compute the limit. The result is: $\displaystyle\lim_{x\rightarrow 1} \dfrac{x^3-x^2+3x-3}{x^2+3x-4}\approx 0.80$
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