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Q. 46

Expert-verified

Precalculus Enhanced with Graphing Utilities

Found in: Page 876

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Use a graphing utility to find the indicated limit rounded to two decimal places.
$\lim_{x \to 1} \frac{x^{3} - x^{2} + 3 x - 3}{x^{2} + 3 x - 4}$

The value of the limit rounded to two decimal places is $0.80$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

The given limit is $\lim_{x \to 1} \frac{x^{3} - x^{2} + 3 x - 3}{x^{2} + 3 x - 4}$

Using a graphing utility we will find the table of values to find the value of the given limit.

Step 2. Table of values

The table of values for the given limit is:

Therefore $\lim_{x \to 1} \frac{x^{3} - x^{2} + 3 x - 3}{x^{2} + 3 x - 4} = 0.80$

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