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} \left(\frac{x}{x - 1} - \frac{1}{\ln x} \right) $

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

03:07

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

Missouri State University

Campbell University

Baylor 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.

02:22

Find the limit. Use l'…

01:20

01:16

01:36

01:58

00:48

02:46

06:18

01:25

04:32

Okay. We know we end up with 00 nly plugin. Therefore, we have to apply the hospital's rule. Still got zero over zero. Therefore, we have to do this again. It's a little complicated with the complex functions. Just keep in mind that you're doing this step by step with the derivatives. We end up with 1/2.

View More Answers From This Book

Find Another Textbook

01:09

Use an addition or subtraction formula to write the expression as a trigonom…

07:51

A four-sided; closed traverse tract of land ABCD has the following bearings:…

03:23

1 3 aQQ he 1 22 8 { 8 Lz Parlia

03:55

Solve the equation. Give a general formula for all the solutions. List all t…

02:54

2. Let A and B be compact subsets of a topological space X_Show that A U…

The Inverse sine Inverse cosine and Inverse tangent functions have the follo…

Change the order of integrationflx,y)dxdyf(x; y)dydxf(x; ")…

05:24

5 . Evaluate the limit by first recognizing the sum as a Riemann SUm for a f…

08:10

Using the affine transformations matrix representation perform the following…

02:34

Question 11 (7 points) Fred has a set of drill bits that are printed in Base…