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.
$ \lim_{x\to 1} \frac{x\sin(x - 1)}{2x^2 - x - 1} $
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
02:27
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
Baylor University
University of Michigan - Ann Arbor
University of Nottingham
Idaho State University
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.
01:21
Find the limit. Use l'…
01:31
01:27
01:06
02:49
01:13
01:37
01:12
01:16
03:54
01:10
01:32
00:59
00:53
So we're gonna be finding um the limit of this value by using reptiles rule, the function is going to be X times the sine of X -1 provided by two, X squared- X -1. When you plug in one directly, we get 0/0. Since that is the indeterminant form, we want to take the derivative of the top and bottom. When we do that, we end up getting the sign of back plus one plus X, co sign Of X -1. And then the derivative of the bottom is just going to be for x minus one. Now, when we plug in one will end up getting zero plus one divided by three. So our final answer is going to be won over three.
View More Answers From This Book
Find Another Textbook
01:44
'On July 1, 2011, ABC, franchisor, entered into franchise agreement wit…
03:20
'The owner of a retailing organization is interested in the relation…
04:09
'Athlete ages, three The researchers in Exercise 12 decide to test the …
07:15
'A factory received a shipment of 20 sprockets, and the vendor who sold…
00:56
'A spotlight is mounted on the eaves of a house 45 feet above the groun…
01:23
'The given figure suggests that the number of pieces into which pie is …
01:41
'shipping container will be used to transport several 60-kilogram crate…
00:29
'A teacher is buying bags of chips for a grade-level picnic The teacher…
02:39
'The lifetime of a semiconductor laser has a lognormal distribution; an…
03:25
'38. What is the measure of the angle made by the roads at Bigville?&#x…
