find-the-limits-beginequationlim-_theta-rightarrow-0-theta-cos-thetaendequation

Question

Find the limits.
\begin{equation}\lim _{	heta ightarrow 0} 	heta \cos 	heta\end{equation}

Amy Jiang · Accepted Answer

Okay, so we&#x27;re after the limit. As data about Giselle data coastline a bit. Well, what is the limit as their approaches over there? That&#x27;s just stop. And the letter as it approaches the coast Innovator, that&#x27;s cause I don&#x27;t know which one would it sell times one?

R M · Answer

broken Number 35. The limits of data tends to see you off status. Where? Over one minus school. Fine data. Which Ah, first we went a month. Apply bullfights by one plus course. Sign faith. Answer with a friend and answer for that would be data squared well, but one minus was signed. It&#x27;s where it&#x27;s time. One plus well, Science. Faith there Well, but later, over one one, Minus school Science Data, which is signed. This where faith there and the limit for status squared over sine squared later is equal toe one and the limit for one plus co sign data is one, and we treat is equal to zero cosigned. Zero resigns here is equal to one is one plus one since one plus one. Who&#x27;s the one time student?

Subhadeepta Sahoo · Answer

in this course, um, minuto. Find that limit. Take aspirin zero to minus court, then with beautiful end off left limit. Then we dance to minus tu minus what could have been returned Scores signs. Now, when it comes to the minus scientist, that tends toward U minus. So this will be to minus cost Victor, my little minus minus infinity. You can also write it. That&#x27;s caustic when? At seven on minus against one. So it wouldn&#x27;t be minus in Pretty similar that I can LTD limited, captain. Sports it up plus blue minus close to double Santic. And when the experts, you know, plus time take attempts to set up less than two to minus one margin topless, that is equal to plus infinity, as you consider left and limit is not a couple record limit, so this limit does not exist.

Zachary Mitchell · Answer

We&#x27;re starting with limit as X goes to zero of tan of Excuse me, I&#x27;ve written x here, but I meant fate. Oh, 10 of data divided by Fada. Now, let&#x27;s go ahead and check to see if we can use low petals rule, um Or if we can just do this limit. So when we try to do the limited the numerator, we get zero try to do the limited. The denominator would get 0 0/0 We have an indeterminant form and we can use lobaton. Okay, some reading LH over the equal sign indicating that that&#x27;s the next step low Patel&#x27;s room. So the numerator we get, she can&#x27;t squared because the derivative of Tanis against weird the Trudeau of data is just one. And this is something we can evaluate. Lemonis one

Amy Jiang · Answer

Yes, they were given the limits as they&#x27;re approaching zero up one of my next call sign dinner over. Sign two. They don&#x27;t. If your car is entity for signed to data to write that, that&#x27;s just to sign up there. No close side if they don&#x27;t. And then we have one minute school sign. We could be right that as two sine squared, you know, open to that&#x27;s our half angle identity. Okay, now it&#x27;s multiplied by date over four. Did we get the limit? Data about your zone one over to co sign it. Uh, times to sine squared data over to over. Data squared over four. Have they Don&#x27;t hear sign, You know. You know, over four. No, nothing. Oh, yeah, there before. And this just simplifies to data over for plugging in. Argueta is equal to zero We get. This is equal to go over point, which is equal to go

Issa Dababneh · Answer

All right, So in this video, we&#x27;re asked to determine the limit as data close to zero off one minus close. I data divided by sine two theta. And will you need to use this? These relationships were here. These limits. So the limited scale goes to zero. Sign came divided by K equals one. And then what? What what we get. What immediately applies from that is that the saw and the limited scale goes to zero off K divided by sidekick equals one. So basically, the limit of the reciprocal also equals one. No first thing we&#x27;re going to do, we&#x27;re going to try to manipulate Well, we have inside the limit, so But we can do is we can split this into two fractions. So one times sign of truth, Ada multiplied by one minus consigned data divided by one. Now remember, we have ah to theater inside the sign So we wanted to fade in the numerator But we have a one. So what we do is we multiply by two theater divided by two theater Kohstuh theater divided by two theaters Just controverted one. So that&#x27;s valid. You can you can You can vote by by one that doesn&#x27;t changing. And then no one extra thing you can do so no, we Now, here we go to the next step. We have a toothache and the numerator. But another interesting thing is we can take the state of it&#x27;s right here and then just with all the way to be underneath the one minus closer. So now what we have We have a 1/2 on the outside. We have a two theater on top of that sign do data and then we have one minus co sign data divided by all right. Now, that limit as this ghost is ears of the 1/2 is a course that it doesn&#x27;t change. Just stays. 1/2 a state of was zero. This becomes a one and I already know from earlier one minus close. I did a divided by beta. This is zero. So we have 1/2 times one times zero and the Limited give zero

Problem

Find the limits. \begin{equation}\lim _{\theta \…

Problem 39 Easy Difficulty

Find the limits.
\begin{equation}\lim _{\theta \rightarrow 0} \theta \cos \theta\end{equation}

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