Chapter 14.1, Problem 47AYU

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

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

To determine

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

Answer to Problem 47AYU

Solution:

0

Explanation of Solution

Given:

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

$x$	$\underset{x \to -1}{\text{lim}}\frac{x^3 + 2x^2 + x}{x^4 + x^3 + 2x + 2}$
$-0.999$	0
$-0.998$	0
$-1.001$	0
$-1.002$	0

$\underset{x \to -1}{\text{lim}}\frac{x^3 + 2x^2 + x}{x^4 + x^3 + 2x + 2} = 0$