Math 20A, 4.4 - L'Hospital's Rule

By Eric Lake

Section 4.4 - L'Hospital's Rule

This module both has video lectures and also a worksheet with practice problems below!

Videos

In this video, I introduce L'Hospital's Rule, a powerful tool for evaluating limits, and do some starting examples.

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This L'Hospital's Rule problem is one involving a fraction of two trig functions.

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This problem requires us to apply L'Hospital's Rule twice, which can sometimes happen!

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In this problem, it actually isn't a good idea to use L'Hospital's Rule!

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This video deals with how to use L'Hospital's Rule when your problem is a product, rather than a fraction.

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In this very important example, we convert a power indeterminate form into a product, then into a quotient to use L'Hospital's Rule. This problem comes up in Calc 2!

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Like section 2.3, we often deal with difference indeterminate forms by combining fractions.

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This problem is another difference indeterminate form, but we just attack this with our methods from 2.6, rather than L'Hospital's Rule!

Worksheet

For your practice, here is a worksheet on several problems on the L'Hospital's Rule Links to an external site.. Do your best to do these without looking notes or a video, at least until you get stuck, then take a look at those resources.

When you are finished, check your work with the full worked solutions Links to an external site..