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Problem

Find the limit. $ \displaystyle \lim_{x\to 0} \…

01:09

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Problem 45 Hard Difficulty

Find the limit.
$ \displaystyle \lim_{\theta \to 0} \frac {\sin \theta}{\theta + \tan \theta} $


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00:23

Frank Lin

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Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 3

Derivatives of Trigonometric Functions

Related Topics

Derivatives

Differentiation

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Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

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Baylor University

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University of Michigan - Ann Arbor

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Boston College

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.

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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

it's clear. So when you read here, so we have the limit. State approaching zero. Sign Peeta over Data plus 10 gin. This is equal to when we convert it in terms of sign and co sign Tine over. Data was sign over. Go sign. We multiply both top and bottom by one over data and this gives us the limit. Must date approaches. Zero for a sign of beta. Over. Beta over one plus. Sign the data over. Data Arms one over. Co sign data. This equals the limit. State approaches zero. Signed data over Rita. Well, over the limit. Estate approaches zero. The one plus the limit. State approaches. Ciro. A sign Data over data earns the limit. State approaches zero. Everyone over co sign. You know, we get one over one plus one. Tell us. Excuse me. Multiplied by one over one. And this gives us one, huh?

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Calculus: Early Transcendentals

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Related Topics

Derivatives

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Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

Caleb Elmore

Baylor University

Kristen Karbon

University of Michigan - Ann Arbor

Joseph Lentino

Boston College

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
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