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 \infty} \sqrt{xe^{-x/2}} $

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

00:34

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

Oregon State University

Baylor University

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.

04:18

Find the limit. Use l'…

01:25

01:56

02:03

01:18

01:26

02:22

06:18

01:06

01:27

Find the limit. Use I…

02:48

Yeah here we're going to be using we'll have to scroll to find the limit of the function. So we have the square root. Our function is the square root of X. I. M. E. To the um negative X. Over two. So we're just going to rewrite that as the spirit of acts over E. To the Extra Virgin. Um And then that's going to end up giving us since that's X over two, we can just write that as the square root of that. This whole thing is under the square root essentially he to the X. Now that we have this we can plug in infinity as our limit. We see that um that is going to be infinity over infinity. So we take the derivative of the top and bottom and then we get one over infinity. Which is just going to be the square root of zero as a result. And that's gonna give us zero as the final answer.

View More Answers From This Book

Find Another Textbook

02:31

In an electrical circuit the amount of current is measured in amperes (I), t…

02:35

Fill in the missing reasons for the algebraic proof.Given: $2(x+3)-7=11$…

00:46

Use a calculator to find the following square roots. Round off your answers …

01:02

The Multiplication Property of Inequality requires that we reverse the inequ…

Do your computations using scientific notation.Atomic measurements or ot…

01:12

Use the method you think is the most appropriate to solve the given equation…

05:31

Sketch the graph of the given equation. Find the intercepts; approximate to …

Rationalize the denominators and simplify.$$\frac{8}{\sqrt{5}-\sqrt{3}}-…

04:14

00:53

State the hypothesis and the conclusion of each statement.Corresponding …