find-the-limits-in-exercises-1-12-lim-_x-y-rightarrowpi-20-fraccos-y1y-sin-x-3

Question

Find the limits in Exercises $1-12$.
$$
\lim _{(x, y) \rightarrow(\pi / 2,0)} \frac{\cos y+1}{y-\sin x}
$$

Stephen Hobbs · Accepted Answer

we start off here with co sign of why? So that&#x27;s well end up being co sign of zero, which we know it&#x27;s just going to be one. And, um, we also have a plus one in the numerator all divided by why which again is zero and minus sign. Oh, High house and sign it by halves. If we were to look at the graph, sign out to buy go, Huh Um, And up again. And that&#x27;s a pie there. And so my house is going to evaluate toe one. So we know that this is one we know. The co sign graph starts at zero here, um, at a height of one. So that&#x27;s just gonna be one. So in the end, we really have who to over negative one or just negative to our final answer for this limit

Uma Kumari · Answer

in this problem, we have to find the limits. And the given question is limit. X y approaches 10 an ex signed by or X squared, plus fun now putting the values off X and y as one and zero, we will get one valid. I signed zero our one square plus one by simply think this really get 0/2 on, we will finally get zero. Therefore, limit X Y approaches 10 ex signed by over X Square plus one is equal to zero, so that&#x27;s a solution.

Stephen Hobbs · Answer

evaluating as X approaches, one will start off with one multiplied by sine of wine, which would end up being sign of by six and multiplying that by six times 1 80 over pie. We could see that this would be a 30 degree angle, and so we&#x27;ll go ahead and evaluate that in just a moment. And then in the the denominator, we also have a term of X squared, which would just be a one and then finally plus another one. And then we&#x27;ll end up with now a denominator of to and let&#x27;s go ahead and evaluate Sign of high Six and let&#x27;s draw a triangle here. So let&#x27;s say we know it&#x27;s a 30 degree angle. You don&#x27;t have the unit circle memorized, while 30 degree angle would be one. It&#x27;s where the three and two And since we&#x27;re looking at sign opposite of this 30 degree over, Um uh, pot news would end up being 1/2 and so we have 1/2 divided by two. And then another way to say that would just be 1/4 because dividing by two, um, is the same thing. Is is multiplying by 1/2 again. So, really, this would just get us one for

Brittany Knowlton · Answer

questions asking us to find the limit as ex wives approaching pie over to zero of co sign. Why it plus one over? Why minus sign of X. So as for any limit problem, I&#x27;m going to go ahead and substitute my values of X and Y for what they are approaching. So when I do that, I get co sign of zero plus one over zero minus sign of a pie or two coastline. Nazir is just once I get one plus one on the top sign. A pirate, too, is equal to once I get minus one on the bottom, and so that makes my answer. But the limit is negative, too.

Ahmed Ibrahim · Answer

again. The solution off this limit we were substitute X equals y were to And why? Equal to zero. So you will have design Tzeitel plus one over. Tzeitel minus sign by resigns. You know, zero will be equaled. One plus one over the room minus and signed Piper to ease one. So you will have negative toe. Thank you.

Stephen Hobbs · Answer

for this problem, we could go ahead and use direct substitution for two variable sex on. Why here? So it&#x27;ll start off with co sign of zero squared, Which, of course, we know is just gonna be zero plus why cubed, which is also going to be zero divided by zero or X plus zero for why, and then finally plus one and zero divided by one would get us zero. So we really have co sign. Uh uh, you&#x27;re real. And then that would get us a final solution of one.

Problem

Find the limits in Exercises $13-20$ by rewriting…

Problem 12 Easy Difficulty

Find the limits in Exercises $1-12$.
$$
\lim _{(x, y) \rightarrow(\pi / 2,0)} \frac{\cos y+1}{y-\sin x}
$$

Answer

$-2$

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Anna Marie V.

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Vectors Intro

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George B. Thomas, Maurice D. Weir, Joel Hass, Frank R. GiordanoThomas Calculus

Anna Marie V.

Caleb E.

Kristen K.

Samuel H.

George B. Thomas, Maurice D. Weir, Joel Hass, Frank R. Giordano

Thomas Calculus