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 1^+} x^{1/(1 - 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
01:32
Wen Zheng
01:03
Amrita Bhasin
Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 4
Indeterminate Forms and l'Hospital's Rule
Derivatives
Differentiation
Volume
Missouri State University
Oregon State University
University of Nottingham
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.
03:54
Find the limit. Use l'…
01:54
01:31
02:08
01:46
01:18
01:20
01:15
Find the limit. Use I'…
06:16
01:26
because people were taking the limit as X goes to one from the right of the function X to the power of 1/1 -1. So that is the function that we're dealing with here. Um And We see that when we plug in one we get uh well first we have to take the natural log of both sides. When we do that, that will allow us to get it in the form 1/1 -1 times natural log effects. And when we evaluate that at one we see we get the indeterminant form. So we need to use like tiles room. This will allow us to have um If we write it up here natural log of X, it will be one over X. This will be just a -1. Okay then we plug in the one, we get one a negative one. So our answer is going to be negative one. Remember that? That's the natural log. So our natural log of Y is going to equal negative one. Therefore, when we solve for Y, we'll end up getting that Y equals E. to the -1, which is the same thing as one over E. So one over E is going to be our final answer.
View More Answers From This Book
Find Another Textbook
01:40
Rock Solid Bank & Trust is offering a CD that pays 5%compounded cont…
03:22
What percentage of hospitals provide at least some charity care?Based on…
01:23
Consider the value of t such that 0.025 ofthe area under the curve is to…
02:39
1.) An automobile manufacturer claims that their jeep hasa 52.3 miles/ga…
04:02
According to a recent study, 10% of women have been a victim ofdomestic …
02:22
A die is rolled twice. Let X denote the sum of the two numbers that turn up,…
02:02
Serita Deloy's annual salary is $72,500. Her personal exemptions
A study was conducted to determine if there was a difference inthe h…
04:58
A machine is used in a production process. From past data, it isknown th…
01:45
Find the area under the standard normal curve to the left ofz=−1.76. Rou…
