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, if it exists. $ \displayst…

03:09

Question

Answered step-by-step

Problem 11 Easy Difficulty

Evaluate the limit, if it exists.

$ \displaystyle \lim_{x \to 5}\frac{x^2 - 6x + 5}{x - 5} $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Anthony Han
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Anthony Han

Numerade Educator

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

More Answers

02:09

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
Grace He
Catherine Ross

Missouri State University

Kayleah Tsai

Harvey Mudd College

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

Evaluate the limit, if it …

0:00

Evaluate the limit, if it …

02:19

Evaluate the limit, if it …

00:51

Evaluate the limit, if it …

00:59

Evaluate the limit, if it …

01:15

Evaluate the limit, if it …

01:05

Find the indicated limit, …

01:34

First simplify the given e…

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

So here we have a specific limit. The limit as X approaches five of x squared minus six. X plus five Divided by X -5. So the first thing we can check if this is an indeterminate form and we can evaluate the limit. So 5 -5 is zero. And this we can also find is also equivalent. 20. So as a result we have an indeterminate form and we can value to limit. So one thing we can do is first to factor the numerator. So this would be X -5 Times X -1 Over X -5. So we can cross out the X -5 to simplify down our expression and we have this remaining. So if we can use direct substitution here, since we don't have an indeterminate form And we find that this is equivalent to four. An alternative way of doing this would be applying logical rule. So applying law in the world would also give us uh the same answer. However, a lot the world would require a bit more work as we have to differentiate the numerator and denominator. And but this gives our final answer and the limits equivalent to four

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

Catherine Ross

Missouri State University

Kayleah Tsai

Harvey Mudd College

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

Evaluate the limit, if it exists. $ \displaystyle \lim_{x \to 5}\frac{x^2 - …

0:00

Evaluate the limit, if it exists. $ \displaystyle \lim_{x \to 5}\frac{x^2 - …

02:19

Evaluate the limit, if it exists. $ \displaystyle \lim_{x \to 5}\frac{x^2 - …

00:51

Evaluate the limit, if it exists. $$\lim _{x \rightarrow 5} \frac{x^{2}-5 x+6}…

00:59

Evaluate the limit, if it exists. $$\lim _{x \rightarrow 5} \frac{x^{2}-5 x+6}…

01:15

Evaluate the limit, if it exists. $$\lim _{x \rightarrow 5} \frac{x^{2}-6 x+5}…

01:05

Find the indicated limit, if it exists. $$\lim _{x \rightarrow-5} \frac{x^{2}-2…

01:34

First simplify the given expression and then guess the value of the limit. $\li…
Additional Mathematics Questions

01:33

On closed interval [0, 2pi], absolute minimum of f(x)= e^sinx
occurs at

02:51

The area of a circle is increasing at a rate of 41 square feet
per minute…

02:25

Which of the following is NOT an advantage of using the survey
method? Se…

01:42

1 point) Rework problem 12 from section 2.4 of your text,
involving the c…

02:19

Itemized Charitable Contributions The
average charitable contribution ite…

02:14

Find the equation of the tangent line to the curve
y=3sec(x)-6cos(x) at t…

01:17

Sketch the flow in the xy-plane corresponding to the 1-form ω =
y dx − x …

05:54

Determine whether the following vectors in R4 are linearly
independent

02:32

If $2600 is invested for 6 1/2 years at 6% compounded
quarterly, find a) …

01:20

Let p denote the current market price for widgets and let x
denote a quan…

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