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Problem 25 Easy Difficulty

Use a table of values to estimate the value of the limit. If you have a graphing device, use it to confirm your result graphically.

$ \displaystyle \lim_{\theta \to 0}\frac{\sin 3\theta}{\tan 2\theta} $


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Daniel Jaimes

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Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 2

Limits and Derivatives

Section 2

The Limit of a Function

Related Topics

Limits

Derivatives

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Top Calculus 1 / AB Educators
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Kayleah Tsai

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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.

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Video Transcript

So the question is human as and then make zero scientific upon to amputate. No, just can utterance. Three D. To 1 2012th Dinner. Mhm saying 40 to at one. And that is it off computer and let me was thrown from the humidity cameras for Yeah, We know that is limited data tends to zero sign detail upon detail physicals too. It just is not for me. So now they separate in me Detect tends to zero saying do you keep that 1 30 England here? I'm gonna be banned dividing back. Huh? No. All right. You pick up. Yeah. Sign Makita. Then we're going to teacher and they're they're great cost to the still as Detections to zero scientific about it happens to one saying to be delivered to the doors again stolen in this target counselor. So we are left with one. You do it three x 2 mm hmm one. And when you get into the call 00 lives. What? So this is the Koran strictly by the book at one point this is the answer. This can be cross checked with the graph of scientific done by saying. So the class of thank you that was in that end with is given by this here it is clearly visible at this point is 1.5 First from the graph at zero X zero again on the front side. So from the ground and by calculation and men so one hand is the correct answer. Yeah. Mhm

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Related Topics

Limits

Derivatives

Top Calculus 1 / AB Educators
Grace He

Numerade Educator

Kayleah Tsai

Harvey Mudd College

Michael Jacobsen

Idaho State University

Joseph Lentino

Boston College

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
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