Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Find the limits.\begin{equation}\lim _{x \rightarrow 0} 6 x^{2}(\cot x)(\csc 2 x)\end{equation}

3

Calculus 1 / AB

Chapter 2

Limits and Continuity

Section 4

One-Sided Limits

Limits

Continuous Functions

Oregon State University

Harvey Mudd College

Idaho State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:34

$$\lim _{x \rightarrow 0} …

00:55

Find the limits.$$…

01:24

Evaluate the limit if it e…

00:46

02:35

00:33

Determine each limit, if i…

01:55

Find the limits in Exercis…

00:25

Determine the following li…

01:08

Find the limits$$\lim …

00:40

Determine each limit.$…

Okay, so you have the limit Specs approaching zero of six X squared cho tangent x times because he can't two Max. Okay, if you don't know what to do, you're not alone is the mess. But the trick with all these trick functions is just to write them in. Terms of signing could sign as quick as possible. And I mean, our head years that we're going to be trying to use sign X over X. That would be fun. So we want to write everything in terms of these sine x of Rex. So you have six x squared times. Contention is co sign X o ver sine x and then Cassie Kin is one over. Next Teo. Sorry. One over. Sign of two X Good. And now I'm going to take All right, there's two exits here. I'm gonna divide by x squared. I'm gonna put one of the exit so and divide by x squared and dividing the numerator back screwed. Then I'm going to divide this by X squared. Goodbye, ex in this by X So then these x squared will cancel. No knows I'm not changing anything because I'm just We'Ll tow X squared divided by text about it. X just went and then I also needed to hear. But if I put it to here, I needed to hear. So I give it two here and two here. But now what's going on? This is going to be going toe one, This is going to be going toe one, This is now gone. Okay? Co sign X. Thanks. Purchaser is going toe. Okay. And let's not forget about this too. So that's kind of a mess. But what's left? We have six times. One over one times, one over. Don't forget about this too. Right here. This too made this one to the two's Still here we get three.

View More Answers From This Book

Find Another Textbook

Numerade Educator

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

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

$$\lim _{x \rightarrow 0} 6 x^{2}(\cot x)(\csc 2 x)$$

Find the limits.$$\lim _{x \rightarrow-1} \frac{x^{2}+6 x+5}{x^{2}-3…

Evaluate the limit if it exists.$$\lim _{x \rightarrow 2} \frac{x^{2…

Find the limits.$$\lim _{x \rightarrow 2} \frac{x^{2}-4 x+4}{x^{2}+x…

Evaluate the limit if it exists.$$\lim _{x \rightarrow-2} \frac{x^{2…

Determine each limit, if it exists.$$\lim _{x \rightarrow-2} \frac{x^{2}…

Find the limits in Exercises 21–36.$$\lim _{x \rightarrow 0} 6 x^{2}…

Determine the following limits.$$\lim _{x \rightarrow \infty} x^{-6}$$

Find the limits$$\lim _{x \rightarrow 2} \frac{x+3}{x+6}$$

Determine each limit.$$\lim _{x \rightarrow \infty} \frac{2 x^{3}-x-3}{6…

01:31

Find the limits.\begin{equation}\lim _{\theta \rightarrow 0} \frac{1-\co…

01:25

Graph the functions in Exercises $37-56$$$y=1+\sqrt{x-1}$$

02:33

Find the slope of the curve at the point indicated.$y=\frac{x-1}{x+1}, \…

00:29

Exercises $59-68$ tell by what factor and direction the graphs of thegiv…

04:10

The sign-preserving property of continuous functions Let$f$be defined on…

05:36

The accompanying figure shows the graph of $y=-x^{2}$ shifted tofour new…

01:54

Stretching a rubber band Is it true that if you stretch a rubberband by …

01:19

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

02:58

Fruit flies (Continuation of Example $4,$ Section $2.1 .$ )Populations s…

05:10

Find the first and second derivatives.\begin{equation}s=-2 t^{-1}+\f…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.