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. $ \displaystyle \lim_{x \to 0} …

02:25

Question

Answered step-by-step

Problem 49 Hard Difficulty

Find the limit.
$ \displaystyle \lim_{x \to \pi/4} \frac {1 - \tan x}{\sin x - \cos x} $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Clarissa Noh
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Clarissa Noh

Numerade Educator

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

More Answers

02:15

Frank Lin

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

Related Topics

Derivatives

Differentiation

Discussion

You must be signed in to discuss.
Top Calculus 1 / AB Educators
Grace He
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

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.

Video Thumbnail

44:57

Differentiation Rules - Overview

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

Join Course
Recommended Videos

01:22

Determine the limit of the…

01:22

Find the limits
$$
\…

01:46

Find the given limit, or s…

01:05

$$
\text { Find } \lim …

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

Video Transcript

he expressed the When you read here we have the limit as X approaches I for it of one minus 10 gin over a sine minus co sign this tangent becomes one minus sign over coastline and when we multiplied the top and bottom by co sign, we get the limits of X approaches. High four one minus sign. That's over. Co sign X over. Sign my guest co sign We want while I co sign, which gives us limit as X approaches by four co sign Linus Stein all over sine minus co sign terms Co sign This becomes equal to the limit as X approaches pi for negative sign Linus Co sign over sine minus co sign find co sign it cancels out to get limit as X approaches high Fours of one over co sign Negative. When we plug in pi forth, we get negative one over co sign of five bars. This becomes really to over two, which gives us an answer of negative route, too

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
178
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
75
Hosted by: Alonso M
See More

Related Topics

Derivatives

Differentiation

Top Calculus 1 / AB Educators
Grace He

Numerade Educator

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

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.

Video Thumbnail

44:57

Differentiation Rules - Overview

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

Join Course
Recommended Videos

01:22

Determine the limit of the trigonometric function (if it exists). $$ \lim _{x \…

01:22

Find the limits $$ \lim _{x \rightarrow 0} \sec \left[\cos x+\pi \tan \left(\…

01:46

Find the given limit, or state that it does not exist. $$ \lim _{x \rightarrow …

01:05

$$ \text { Find } \lim _{x \rightarrow \pi / 4} \frac{\cos x-\sin x}{x-\pi / 4}…
Additional Mathematics Questions

01:10

ATTACH WORI
Find the principal root of this equation:
2 sin(x) 51
G…

04:07

Match each graph with its equation: Not all equations will be used_
cos(x…

01:39

45 Suctan Exerice 63,64
Question 0f15 ont Anonpl
Unemiled
Use the m…

02:37

Stephan is reviewing the data on product returns for an online retaller Thus…

03:27

Question 1
The time interval between arrivals of series of trucks …

03:27

Use Stokes' Theorem to evaluate the line integral (fjF-dr where € is th…

02:11

Aproduct sells by word of mouth: The company that produces the product has n…

06:39

PART B 7 . A construction worker drops a bolt while working 0 a high-rise bu…

03:17

The function s(t) St(t + 2) describes the distance $, in kilometres, that a …

07:16

Required information NOTE: This is a multi-part question. Once an answer is …

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