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. Use l'Hospital's Rule where appro…

02:08

Question

Answered step-by-step

Problem 26 Easy Difficulty

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. If l'Hospital's Rule doesn't apply, explain why.

$ \displaystyle \lim_{\mu \to 0} \frac{e^{\mu /10}}{u^3} $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Carson Merrill
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Carson Merrill

Numerade Educator

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

More Answers

02:11

MY

Mengsha Yao

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 4

Indeterminate Forms and l'Hospital's Rule

Related Topics

Derivatives

Differentiation

Volume

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Calculus 2 / BC Courses

Lectures

Video Thumbnail

04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

Video Thumbnail

06:14

Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

Join Course
Recommended Videos

09:01

Find the limit. Use l'…

01:22

Find the limit. Use I…

01:40

Find the limit. Use l'…

01:16

Find the limit. Use I'…

04:13

Find the limit. Use l'…

01:17

Find the limit. Use l'…

01:10

Find the limit. Use l'…

02:48

Find the limit. Use l'…

02:08

Find the limit. Use l'…

01:46

Find the limit. Use l'…

03:56

Find the limit. Use l'…

02:05

Find the limit. Use l'…

01:32

Find the limit. Use l'…

Watch More Solved Questions in Chapter 4

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
Problem 82
Problem 83
Problem 84
Problem 85
Problem 86
Problem 87
Problem 88
Problem 89
Problem 90
Problem 91
Problem 92

Video Transcript

So here, what we're given is E to the you over can um it's actually new but we don't have me. So we'll just use the letter U over U. Cubed. And when we plug in infinity we would just get infinity over infinity. Now this is an indeterminate form. So what we want to do is take the derivative of both the top and the bottom. Um So when we do this we end up getting for the derivative of the top. That's going to be Uh one over 100 Times. E should be view over 10. And then on the bottom we'll get three you square now. Again we'll get infinity over infinity. So we want to do this again. This will give us one over 1000 E. To the U. Over 10 and this will give us six you on the bottom. Once again, when we plug in infinity will get in a determinant form. So we'll do it one more time. Um so the initial one should have been won over 10, then one over 100. The last one is going to be one over 1000 with just six in the numerator or the denominator. So as a result of that, we see that still when we plug in um you actually get infinity in the numerator, however, will only get a six and the denominator. So if we get infinity Divided by six, that's going to be just infinity. So our final answer is 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
192
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
83
Hosted by: Alonso M
See More

Related Topics

Derivatives

Differentiation

Volume

Top Calculus 2 / BC Educators
Kayleah Tsai

Harvey Mudd College

Caleb Elmore

Baylor University

Kristen Karbon

University of Michigan - Ann Arbor

Samuel Hannah

University of Nottingham

Calculus 2 / BC Courses

Lectures

Video Thumbnail

04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

Video Thumbnail

06:14

Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

Join Course
Recommended Videos

09:01

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more ele…

01:22

Find the limit. Use I'Hospital's Rule where appropriate. If there is a more el…

01:40

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more ele…

01:16

Find the limit. Use I'Hospital's Rule where appropriate. If there is a more ele…

04:13

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more ele…

01:17

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more ele…

01:10

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more ele…

02:48

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more ele…

02:08

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more ele…

01:46

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more ele…

03:56

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more ele…

02:05

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more ele…

01:32

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more ele…
Additional Mathematics Questions

00:43

Convert to a logarithmic equation
106 = 1,000.000

03:14

Question 9
2pts
Data from 2006 GSS subsample show that the mean number…

04:42

Find the solution to the linear system of differential equations
r' …

04:17

4.2.23
Question Help
Approximate the area under the graph of F(x) = 0.…

05:41

Question 12 Consider an elastic string of length L whose ends are held fixed…

04:48

Let 0 be uIL augle with the poiut (~4.3) ou its terminal sitle: Fiudl the va…

00:23

If the outcome of event A is not affected by event B, then events A and B ar…

01:37

Rescurzes
Moving to arother qpuestior vnll save this resfkMre
Nents

01:45

There are 5 black and 3 white balls in a box. Ifwe randomly pick 2 balls, wh…

03:02

The probability of scoring a basket is 0.8. If 3 throws are made, what is th…

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