   Chapter 2, Problem 18RE ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Find the limit. lim x → ∞ e x − x 2

To determine

To find: The value of limxexx2.

Explanation

Calculation:

Obtain the limit of the function as x approaches infinity.

Consider the function f(x)=exx2.

Take the limit of f(x) as x approaches infinity.

limx(exx2)=limx(exex2)=limx(exex2)

Consider ex.

Here, the exponential function ex becomes large and large as x increases. So limxex goes to infinity. That is, limxex=.

Consider 1ex2.

Here, the exponential function ex2 becomes large and large as x increases

### 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

#### Find more solutions based on key concepts 