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

Determine the infinite limit. $ \displaystyle …

08:02

Question

Answered step-by-step

Problem 40 Medium Difficulty

Determine the infinite limit.

$ \displaystyle \lim_{x \to 2^-}\frac{x^2 - 2x}{x^2 - 4x + 4} $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Ma. Theresa Alin
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Ma. Theresa Alin

Numerade Educator

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

More Answers

03:03

Daniel Jaimes

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 2

Limits and Derivatives

Section 2

The Limit of a Function

Related Topics

Limits

Derivatives

Discussion

You must be signed in to discuss.
Top Calculus 1 / AB Educators
Heather Zimmers

Oregon State University

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Michael Jacobsen

Idaho State University

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

Determine the infinite lim…

01:11

Determine the infinite lim…

02:52

Find the limit.
$$\lim …

0:00

Evaluate the limit, if it …

06:30

Evaluate the limit, if it …

02:57

Find the limit (if it exis…

00:24

Determine the infinite lim…

00:36

Find the limit.
$$
\…

00:42

Find the indicated limit.<…

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

Video Transcript

to evaluate the limits of x squared minus two. X over x squared minus four, X plus four. As X approaches to from the left, we would rewrite this into the limit as X approaches to from the left of X Times X -2. This all over X -2 Squared. And then from here we can simplify, we can get rid of x minus two and we have Limit as X approaches to from the left of X over we still have X -2 in the denominator. Now, if we plug in two to this function we have to over 2 -2, that's two over zero. Now, if X approaches to from the left then the values of X we are looking at are those X values less than two. So if X is less than two, this means that X -2 will be less than zero. That means The value of X -2 as X approaches to from the left would be a small negative number And so the value of X over X -2 would be a negative infinite number. Therefore this is equal to negative infinity.

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
142
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
68
Hosted by: Alonso M
See More

Related Topics

Limits

Derivatives

Top Calculus 1 / AB Educators
Heather Zimmers

Oregon State University

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Michael Jacobsen

Idaho State University

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

Determine the infinite limit. $ \displaystyle \lim_{x \to 2^-}\frac{x^2 - 2x…

01:11

Determine the infinite limit. $$ \lim _{x \rightarrow 2} \frac{x^{2}-2 x}{x^{2}…

02:52

Find the limit. $$\lim _{x \rightarrow 2^{-}} \frac{x^{2}-2 x}{x^{2}-4 x+4}$$

0:00

Evaluate the limit, if it exists. $ \displaystyle \lim_{x \to 2}\frac{x^2 - …

06:30

Evaluate the limit, if it exists. $ \displaystyle \lim_{x \to 2}\frac{x^2 - …

02:57

Find the limit (if it exists). $\lim _{x \rightarrow 2} \frac{x-2}{x^{2}-4 x+4}$

00:24

Determine the infinite limit. $$ \lim _{x \rightarrow 0^{+}} \frac{2}{x^{1 / 4}…

00:36

Find the limit. $$ \lim _{x \rightarrow 2} x^{4} $$

00:42

Find the indicated limit. $$\lim _{x \rightarrow 2}\left(x^{2}+1\right)\left(x^…
Additional Mathematics Questions

02:58

An exterminator claims that no more than 10% of the homes he
treats have …

01:10

If a ball is thrown in the air with a velocity of 80 ft/sec ,
its height …

00:56


26.
What statistic tells you if your assumptions of equal variance ar…

01:58

Mendez Accounting provides audit services at a very nominal fee.
Mendez, …

02:59

An entrepreneur owns some land that he wishes to develop. He
identifies t…

03:14

1)The distribution of the Iowa Test of Basic Skills (ITBS)
vocabulary sco…

01:32

We believe that 81% of the population of all Business Statistics
students…

04:32

We can consider the number f(n) of perfect matchings in a 3 × 2n
grid gra…

02:26

A common design requirement is that an environment must fit the
range of …

04:07

The following data are the heights of 40 students in a
statistics class. …

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