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

Evaluate the limit and justify each step by indic…

View

Question

Answered step-by-step

Problem 4 Medium Difficulty

Evaluate the limit and justify each step by indicating the appropriate Limit Law(s).

$ \displaystyle \lim_{x \to -1}(x^4 - 3x)(x^2 + 5x + 3) $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Suman Saurav Thakur
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Suman Saurav Thakur

Numerade Educator

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

More Answers

05:46

Daniel Jaimes

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 2

Limits and Derivatives

Section 3

Calculating Limits Using the Limit Laws

Related Topics

Limits

Derivatives

Discussion

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

Oregon State University

Kayleah Tsai

Harvey Mudd College

Samuel Hannah

University of Nottingham

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

Evaluate the limit and jus…

01:32

Evaluate the limit and jus…

01:28

Evaluate the limit and jus…

01:33

Evaluate the limit and jus…

02:49

Evaluate the limit and jus…

0:00

Evaluate the limit and jus…

01:22

Evaluate the limit and jus…

00:58

Evaluate the limit and jus…

01:23

Evaluate the limit and jus…

00:49

Evaluate the limit and jus…

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

Video Transcript

we have a question in which we have people with the limit Limit acceptances to -1. Excellent. Really powerful minus three X and two X square plus five X. Let's see um By indicating proper limit laws and it is so let us pay attention on the law that if limit access approaching to a if we have fx and gx static product. So this can be written as limit X approaches to a fx into limit X approaches to a gxe. So let us use this. It will become Limit x approaches to -1 Exodus depart for -3 x. into limit Except for just 2 -1 at the square Plus five x plus three. No, if they use that limit X approaches to this is law will be we will use affects place G X. So this could building has a limit X approaches to a fx bless limit X approaches to a dx. So here we will be applying in both the cases this law limit X approaches to -1 x rays to depart for place Limit x approaches to -1 minus three X. Yeah limit X approaches to minus one X squared Plus limit x approaches to -15 x Plus limit x approaches to -1. Okay, okay so there is another law that if lim X approaches to a and if any function affects is multiplied with any constant term lambda. So the school Britain has limits, linda, lim X approaches to fx. It will be utilized this here. This will become limit X approaches to minus one. Access to the part four plus minus three is a constant 2 -3 limit x approaches to -1 X Limit x approaches to -1 x esquire Yes five limit X approaches to -1 x. Less limit X approaches to -1 to think it's not plugging in minus one in place of acts everywhere minus one, there's depart for plus minus three to minus one Into -1 whole square Plus five and 2 -1 Plus three because this is constant and limited constant. Is that constant? Only this is the law limit X approaches to a linda will be simply linda. Okay so this is one last three, 10 to one minus five plus three, so for into minus one That is -4 -4 should be uh answer thank you. Okay.

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

Kayleah Tsai

Harvey Mudd College

Samuel Hannah

University of Nottingham

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

Evaluate the limit and justify each step by indicating the appropriate Limit La…

01:32

Evaluate the limit and justify each step by indicating the appropriate Limit La…

01:28

Evaluate the limit and justify each step by indicating the appropriate Limit La…

01:33

Evaluate the limit and justify each step by indicating the appropriate Limit La…

02:49

Evaluate the limit and justify each step by indicating the appropriate Limit La…

0:00

Evaluate the limit and justify each step by indicating the appropriate Limit La…

01:22

Evaluate the limit and justify each step by indicating the appropriate Limit La…

00:58

Evaluate the limit and justify each step by indicating the appropriate Limit La…

01:23

Evaluate the limit and justify each step by indicating the appropriate Limit La…

00:49

Evaluate the limit and justify each step by indicating the appropriate Limit La…

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