💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Textbooks
Test Prep
Numerade for Schools
Bootcamps
Class
Ask Question
StudyParty
Earn Money
Refer a friend. Get $50! Become an Educator

Log in

Problem

Find the limits. $$ \lim _{\theta \rightarrow 0} …

00:59

Get the answer to your homework problem.

Try Numerade free for 30 days

Zachary M.

Numerade Educator

Like

Report

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 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 8 Easy Difficulty

Find the limits.
$$
\lim _{x \rightarrow 0} \frac{\sin 2 x}{\sin 5 x}
$$

Answer

Related Courses

Calculus 1 / AB

Calculus Early Transcendentals

Chapter 3

TOPICS IN DIFFERENTIATION

Section 6

L Hopital's Rule; Indeterminate Forms

Related Topics

Functions

Limits

Derivatives

Differentiation

Continuous Functions

Applications of the Derivative

Discussion

You must be signed in to discuss.

Top Calculus 1 / AB Educators

Grace H.

Heather Z.

Oregon State University

Caleb E.

Baylor University

Joseph L.

Boston College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

03:09

Precalculus Review - Intro

In mathematics, precalculu…

Video Thumbnail

31:55

Functions on the Real Line - Overview

In mathematics, a function…

Join Course

Recommended Videos

01:34

Find the limits.
\begin…

02:39

Find the limits.
$$\li…

00:34

Evaluate the limit.
$$<…

02:08

Find the limit.
$$\lim …

04:36

Evaluate the limit.
$$<…

01:26

Find the limit.
$ \disp…

00:59

Find the limits.
$$
…

00:55

Find the indicated limits.…

01:18

Find the limits.
\begin…

02:36

Find the limits.
$$\li…

Watch More Solved Questions in Chapter 3

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 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

Video Transcript

So we have this limit as X goes to zero of signed two X divided by signed five X First, let's check what we get. If we try to do the limit, we get zero in the top zero that about on the bottom. So we have 0/0. That's an indeterminant form, and we're good to go to use low petals rule. Now, since we're using loopholes will miss next step. Let me just go ahead and write L h stands for low patella or the equal sign just showing that this next step uses open cultural So the dirt of the numerator is to co sign to x. The derivative of the Dominator is five co sign five x So this is a limit that we can evaluate. We get 2/5 and we're done

We have video lessons for 84.11% of the questions in this textbook

Howard Anton, Irl Bivens, Stephen Davis

Calculus Early Transcendentals

View More Answers From This Book

Find Another Textbook

Related Topics

Functions

Limits

Derivatives

Differentiation

Continuous Functions

Applications of the Derivative

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Heather Z.

Oregon State University

Caleb E.

Baylor University

Joseph L.

Boston College

Calculus 1 / AB Courses

Lectures

Video Thumbnail

03:09

Precalculus Review - Intro

In mathematics, precalculus is the study of functions (as opposed to calculu…

Video Thumbnail

31:55

Functions on the Real Line - Overview

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Join Course

Recommended Videos

01:34

Find the limits.
\begin{equation}\lim _{x \rightarrow 0} \frac{\sin 5 x}{…

02:39

Find the limits.
$$\lim _{x \rightarrow 0} \frac{\sin 5 x}{\sin 4 x}$$

00:34

Evaluate the limit.
$$
\lim _{x \rightarrow 0} \frac{\sin 5 x \sin 2 x…

02:08

Find the limit.
$$\lim _{x \rightarrow 0} \frac{\sin 3 x \sin 5 x}{x^{2}}…

04:36

Evaluate the limit.
$$
\lim _{x \rightarrow 0} \frac{\sin 3 x \sin 2 x…

01:26

Find the limit.
$ \displaystyle \lim_{x \to 0} \frac {\sin 3x \sin 5x}{x^…

00:59

Find the limits.
$$
\lim _{x \rightarrow 0^{+}} \frac{\sin x}{5 \sqrt{…

00:55

Find the indicated limits.
$$\lim _{x \rightarrow 0} \frac{\sin (\sin x)}…

01:18

Find the limits.
\begin{equation}\lim _{x \rightarrow 0} \frac{x \csc 2 x…

02:36

Find the limits.
$$\lim _{x \rightarrow 0} \frac{x \csc 2 x}{\cos 5 x}$$…

Additional Mathematics Questions

both-x-and-y-denote-functions-of-t-that-are-related-by-the-given-equation-use-this-equation-a-2

01:54

Both $x$ and $y$ denote functions of $t$ that are related by the given equat…

a-explain-why-formula-5-cannot-be-used-to-find-d-d-xleftxxright-b-find-this-der

01:25

(a) Explain why Formula (5) cannot be used to find $(d / d x)\left[x^{x}\rig…

$find-the-limits-lim-_x-rightarrow-0-fracex-1sin-x$

00:46

Find the limits.
$$
\lim _{x \rightarrow 0} \frac{e^{x}-1}{\sin x}
…

find-d-y-d-x-yeleftx-e3-xright

00:54

Find $d y / d x$.
$$
y=e^{\left(x-e^{3 x}\right)}
$$

find-the-limits-lim-_x-rightarrow-0-xsin-x

04:33

Find the limits.
$$
\lim _{x \rightarrow 0^{+}} x^{\sin x}
$$

find-the-limit-by-interpreting-the-expression-as-an-appropriate-derivative-lim-_x-rightarrow-2

01:07

Find the limit by interpreting the expression as an appropriate derivative.<…

a-find-d-y-d-x-by-differentiating-implicitly-b-solve-the-equation-for-y-as-a-function-of-2

02:33

(a) Find $d y / d x$ by differentiating implicitly.
(b) Solve the equatio…

the-accompanying-schematic-diagram-represents-an-electrical-circuit-consisting-of-an-electromotive-f

02:22

The accompanying schematic diagram represents an electrical circuit consisti…

use-an-appropriate-local-linear-approximation-to-estimate-the-value-of-the-given-quantity-197

02:05

Use an appropriate local linear approximation to estimate the value of the g…

let-a-be-the-area-of-a-square-whose-sides-have-length-x-and-assume-that-x-varies-with-the-tim

01:37

Let $A$ be the area of a square whose sides have length
$x,$ and assume t…

Add To Playlist

Add to Existing Playlist

OR

Create a New Playlist

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Typo in question

Answer is wrong

Video playback is not visible

Audio playback is not audible

Answer is not helpful

Other

Get 24/7 study help with our app

About

Our Story
Careers
Our Educators
Numerade Blog

Browse

Bootcamps
Books
Topics
Test Prep
Ask Directory

Support

Help
Privacy Policy
Terms of Service

Get started

92% of Numerade students report better grades.

Create an account to get free access

Join Numerade as a

Student Parent

Already have an account? Log in