Chapter 14.1, Problem 43AYU

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

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

To determine

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

Answer to Problem 43AYU

Solution:

$0.67$

Explanation of Solution

Given:

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

$x$	$\underset{x \to 1}{\text{lim}}\frac{x^3 - x^2 + x - 1}{x^4 - x^3 + 2x - 2}$
$0.998$	$0.67$
$0.999$	$0.67$
$1.01$	$0.67$
$1.001$	$0.67$

$\underset{x \to 1}{\text{lim}}\frac{x^3 - x^2 + x - 1}{x^4 - x^3 + 2x - 2} = 0.67$