   Chapter 9.1, Problem 40E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 41-44, graph each function with a graphing calculator and use it to predict the limit. Check your work either by using the table feature of the calculator or by finding the limit algebraically. lim x → − 3 x 4 + 3 x 3 2 x 4 − 18 x 2

To determine

To graph: The function f(x)=x4+3x32x418x2 using a graphing calculator, and predict the limit, limx3x4+3x32x418x2. Also, check the limit.

Explanation

Given Information:

The function is f(x)=x4+3x32x418x2. The limit is limx3x4+3x32x418x2.

graph:

Consider the provided function,

f(x)=x4+3x32x418x2

Use the ti-83 graphing calculator to plot the graph.

Step 1: Open the ti-83 graphing calculator.

Step 2: Press the [Y=] key and enter the function in Y1, Y1=x4+3x32x418x2.

Step 3: Press the [WINDOW] key and adjust the values accordingly.

Window:

Xmin=10,Xmax=10,Xsc1=2Ymin=10,Ymax=10,Ysc1=2

Step 4: Press the [TRACE] key.

Consider the provided limit,

limx3x4+3x32x418x2

The limit from the left is represented by limx3f(x) and the limit from the right is represented by limx+3f(x).

The limxcf(x) will exist at c=10 when the limit from the left, that is, the values of f(c) but c<3, is equal to the limit from the right, that is, the values of f(c) but c>3.

limx3f(x)0.25

And,

limx3+f(x)0.25

Since,

limx3f(x)=limx3+f(x)

Hence, the value of limx3x4+3x32x418x2 is 0.25.

To check the value of the limit, solve for the value of the limit

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 