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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} $
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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
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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.
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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.
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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.
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