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.

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

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

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

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

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!

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

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. 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.