Chapter 14.1, Problem 46AYU

In Problems 43-48, use a graphing utility to find the indicated limit rounded to two decimal places.

$\underset{x\to 1}{\lim }\frac{x^3-x^2+\text{ 3}x-3}{x^2+\text{ 3}x-4}$

To determine

To find: The indicated limit rounded to two decimal places by using graphing utility.

Answer to Problem 46AYU

Solution:

$0.8$

Explanation of Solution

Given:

$\underset{x \to 1}{\text{lim}}\frac{x^2 - x^2 + 3x - 3}{x^2 + 3x - 4}$

$x$	$\underset{x \to 1}{\text{lim}}\frac{x^3 + x^2 + 3x + 3}{x^4 + x^2 + 2x + 2}$
$0.998$	$0.8$
$0.999$	$0.8$
$1.01$	$0.8$
$1.001$	$0.8$

$\underset{x \to 1}{\text{lim}}\frac{x^3 - x^2 + 3x - 3}{x^2 + 3x - 4} = 0.8$