Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

Find the limit or show that it does not exist. …

03:08

Question

Answered step-by-step

Problem 37 Easy Difficulty

Find the limit or show that it does not exist.

$ \displaystyle \lim_{x \to \infty} \frac{1 - e^x}{1 + 2e^x} $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Stark Ledbetter
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Stark Ledbetter

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

More Answers

01:30

Daniel Jaimes

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 2

Limits and Derivatives

Section 6

Limits at Infinity: Horizontal Asymptotes

Related Topics

Limits

Derivatives

Discussion

You must be signed in to discuss.
JL

Jacqueline L.

August 23, 2021

lim as x approaches (e^-2x times cosx)

Top Calculus 1 / AB Educators
Grace He
Heather Zimmers

Oregon State University

Kristen Karbon

University of Michigan - Ann Arbor

Joseph Lentino

Boston College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Limits - Intro

In mathematics, the limit of a function is the value that the function gets very close to as the input approaches some value. Thus, it is referred to as the function value or output value.

Video Thumbnail

04:40

Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

Join Course
Recommended Videos

0:00

Find the limit or show tha…

0:00

Find the limit or show tha…

01:25

Find the limit or show tha…

0:00

Find the limit or show tha…

0:00

Find the limit or show tha…

0:00

Find the limit or show tha…

07:25

Find the limit or show tha…

0:00

Find the limit or show tha…

04:21

Find the limit or show tha…

0:00

Find the limit or show tha…

0:00

Find the limit or show tha…

01:37

Find the limit or show tha…

0:00

Find the limit or show tha…

01:26

Find the limit, if it exis…

02:38

Find the limit, if it exis…

01:56

Find the limit, if it exis…

0:00

Find the limit or show tha…

03:10

Find the limit, if it exis…

Watch More Solved Questions in Chapter 2

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80
Problem 81

Video Transcript

all right, we want to find this limit or show that it doesn't exist. Um, a lot of people think about using local tiles rule or thinking about and behavior of functions to solve these. Um, I don't like those. I think Loki tells rule, well limits have to exist before derivatives. So this is a more fundamental question that and then end behavior can be hand wavy and or confusing. So um, these are both growing, this is really big, probably really big negatively. This one's really big. Um, so let's just stop them from growing. That's going to be the least confusing. So I'm going to divide top and bottom by E to the X. So this is one over E to the X minus italy X divided by either the X one and then here we have one over either the X plus two, you do the X divided by either the access to and now this theorem I'm going to write down is one over eat the X is going to go to zero. Why? Because X is really big. Even the X is really big. Let's just have this sketch of the X in the back of our minds. You know, the X is even bigger and then one divided by really, really huge number as the number gets huger is going to go toward zero. So now we can just use that there we have the top That goes to 0 -1. So the top goes to -1. The bottom goes to 0-plus two is to, So we get a limit of negative 1/2. I think that's the most straightforward way of doing this kind of problem.

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
83
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
53
Hosted by: Alonso M
See More

Related Topics

Limits

Derivatives

Top Calculus 1 / AB Educators
Grace He

Numerade Educator

Heather Zimmers

Oregon State University

Kristen Karbon

University of Michigan - Ann Arbor

Joseph Lentino

Boston College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

04:40

Limits - Intro

In mathematics, the limit of a function is the value that the function gets very close to as the input approaches some value. Thus, it is referred to as the function value or output value.

Video Thumbnail

04:40

Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

Join Course
Recommended Videos

0:00

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to …

0:00

Find the limit or show that it does not exist. $$ \lim _{x \rightarrow \infty}\…

01:25

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to -…

0:00

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to -…

0:00

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to …

0:00

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to …

07:25

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to …

0:00

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to …

04:21

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to \…

0:00

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to …

0:00

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to \…

01:37

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to \…

0:00

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to \…

01:26

Find the limit, if it exists. $$ \lim _{x \rightarrow \infty} \frac{e^{-x}}{1+e…

02:38

Find the limit, if it exists. $$ \lim _{x \rightarrow \infty}\left(x^{2}-1\righ…

01:56

Find the limit, if it exists. $$ \lim _{x \rightarrow 0} \frac{x+1-e^{x}}{x^{2}…

0:00

Find the limit or show that it does not exist. $ \displaystyle \lim_{x \to …

03:10

Find the limit, if it exists. $$ \lim _{x \rightarrow \infty} x\left(e^{1 / x}-…
Additional Mathematics Questions

02:25

commuter plane provides transportation from an international airport to the …

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started