Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. If l'Hospital's Rule doesn't apply, explain why.
$ \displaystyle \lim_{x\to (\pi /2)^+} \frac{\cos x}{1 - \sin x} $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Carson Merrill
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
03:46
Mengsha Yao
Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 4
Indeterminate Forms and l'Hospital's Rule
Derivatives
Differentiation
Volume
Campbell University
Baylor University
University of Nottingham
Boston College
Lectures
04:35
In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.
06:14
A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.
03:29
Find the limit. Use I'…
07:50
Find the limit. Use l'…
02:49
01:13
01:21
00:53
03:38
01:16
01:03
01:00
04:03
04:32
03:27
01:12
03:56
with this problem. We see that if we just plug in um pi over two directly, we would end up getting the indeterminant form. So we see that lope tells rule is applicable. So we're going to take the derivative of the numerator. So the derivative of cosine X is going to be a negative Synnex and then the derivative of 1- Synnex is going to be negative cosine x. So based on this, we have negative Synnex over negative cosine X. That just equals tangent of X. Now that we have the tangent of X, we can evaluate this as X goes to pi over two From the right. So let's find where x equals two pi over two. We see it right here. And based on this as it's approaching from the right, it's clear that we are approaching the value of um negative infinity because this is the graph of tangent of X. So, right, Because this is the tangent of X graph. We see that at pi over two, the tangent of poverty does not exist. So based on that, we see that our answer would be a negative infinity. As the final answer
View More Answers From This Book
Find Another Textbook
03:50
Let f(x)=20−12x 2 +4x 3 Input the interval(s) on which f is increasin…
01:50
Using SPSS.Take a random sample of 100.calculate the 95% confidence interval…
02:01
Which of the following is a rule violation in hypothesis testing?A. Tha…
01:41
In January 2014, there were approximately 40,000 Uber drivers in the United …
00:19
Jim and Kim are twins. Their mom opens checking accounts for both of her chi…
01:34
Assume that when adults with smartphones are randomly selected, 3939% use th…
01:19
You are conducting an experiment to test the density of a new recipe for cho…
02:28
Isabel Briggs Myers was a pioneer in the study of personality types. The per…
01:22
Two objects are connected by a string passing over a frictionless pulley. Wh…
