   Chapter 2.6, Problem 80E ### 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

# Formulate a precise definition of lim x → ∞ f ( x ) = − ∞ Then use your definition to prove that lim x → − ∞ ( 1 + x 3 ) = − ∞

To determine

To prove: The value of. limx(1+x3)=.

Explanation

Definition:

Let f be a function defined on some interval (,a).

Then limxf(x)= means that for any number M(<0) there is a corresponding number N(<0) such that if x<N then f(x)<M.

Graph:

Proof:

Let the function f(x)=1+x3

Let 1+x13=M

1+x13=Mx13=M1x1=(M1)

### 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

#### In Exercises 2340, find the indicated limit. 37. limx32x4+x2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### 14. Evaluate when and.

Mathematical Applications for the Management, Life, and Social Sciences

#### Explain the difference between simple interest and compound interest.

Finite Mathematics for the Managerial, Life, and Social Sciences

#### Which number is the best choice for the value of a in the following graph? a) e b) 1 c) 2 d) 3

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 