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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{\tanh x}{\tan x} $
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03:44
Mengsha Yao
Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 4
Indeterminate Forms and l'Hospital's Rule
Derivatives
Differentiation
Volume
Baylor University
Idaho State University
Boston College
Lectures
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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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Find the limit. Use l'…
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Find the limit. Use I'…
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So for this problem we're wanting to use little petals role. Um and we're given tangent Hx over kanji max. This is the graph. We see that when we plug in zero though we get 0/0, which is an indeterminant form. So we're gonna want to apply look towels rule. And we see that when we take the derivative of the numerator, we get second H. X squared. Um let's actually put the squared and here And then the nominator is just going to give us 2nd squared of X. So based on this, we can now plug in zero. And we see that Seeking. H0 is going to give us one and then seeking squared of X is going to give us one. So 1/1, which is one will be our final answer for a woman.
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