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 0} \frac{\cos x - 1 + \frac{1}{2}x^2}{x^4} $

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

02:14

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

Oregon State University

Baylor University

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.

02:49

Find the limit. Use l'…

01:13

01:41

Find the limit. Use I'…

01:37

07:50

01:02

08:58

03:29

03:38

01:21

00:46

01:48

06:29

We know that if we plug in, we end up with zero over zero, which implies that we should be using the hospital's rule so we can apply it on the end of it. The function. Negative sign expose acts over four x cubed. However, we still get zero over zero gonna plow. Hoppy tells you again. You still got zero over zero. Do it 1/3 time. The one is a constant effort, cancels. Okay, let's try it again. Okay. Now we have something we can work with. Co Sign of X gives us 1% of zero over 24. This is an answer. One over 24.

View More Answers From This Book

Find Another Textbook

01:50

Distance between A (2,5) and B (9,20) is 7 find a

01:06

how many angles of a concave quadrilateral can be greater than 90 degree

01:04

one angle of a parallelogram is 60 degree find its opposite angle and the ad…

01:18

from the age of a person if two fifth of his age is subtracked , the result …

00:54

If each edge of a cube is increased by 50%, find the percentage increase in …

05:17

The perimeter of a triangle is 240cm. if two of its sides are 78cm and 50cm.…

07:05

A told b "if you give me rs 400, then i shall have 25% more than what y…

01:52

a circular road runs round a circular garden. if the circumference of the ou…

00:19

The seats at a local baseball stadium are arranged so that each row has 5 mo…