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 0} \frac{e^x - e^{-x} - 2x}{x - \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 Amrita Bhasin
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
02:05
Wen Zheng
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
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.
09:21
Find the limit. Use l'…
03:38
00:53
01:16
01:36
Find the limit. Use I'…
08:39
02:08
01:46
07:50
03:56
01:21
02:49
we know this function is in the form zero over zero. Therefore, we know we can use the hospital's rule. We know this is equivalent to zero over zero. What this means is that we apply the hospital's rule second time. The two is now a constant. Therefore it just completely cancels. This is equivalent to zero over zero We apply The happy tells me we've gone. See that now it's e to the X plus feet of the negative acts over co sign acts Plugin We end up with two over one. This gives us an actual answer of Jim.
View More Answers From This Book
Find Another Textbook
03:05
The region bounded bulotcurbojy= 5.? and above by te line y = 12 is to b…
04:21
A piece of cardboard measuring 10 inches by 13 inches is formed into an open…
01:03
The coefficient of determination may be thought of asthe fraction of variabi…
04:36
Example 3.25 uses the inverse of the coefficient matrix to solve linear syst…
04:09
rieerninc servicesSQU LibrariesSou port-e #TTE' DENEIFCLISh…
04:17
At a certain factory, output is given by Q = 63K1/3L2/3 units, where K is th…
02:02
Let 8 > 0. Prove that there exists a 6 > 0 such that for all (z,y) € R…
01:24
A random sample of nine values is taken from Normal deviation 13.5_ populati…
03:23
The National Motor Company did study asking married couples how many cars th…
03:27
Twenty eight percent of the employees in company have managerial positions, …