L'Hopital's Rule
L'Hopital's Rule is what's called a "neat trick". Back in Chapter 1, we looked at limits that, when evaluated at the limit value, came out to 0/0 or sometimes $\infty / \infty$ and we did all sorts of algebraic manipulations to get the function into a form where we could evaluate it to determine the limit. L'Hopital's Rule gives us a very quick way of evaluating these limits without all the up front manipulations.
Videos
In the first chapter, we looked at several limits that, when we tried to evaluate them by direct substitution came out to 0/0 or infinity/infinty. Simplifying those results usually involved some odd algebra or geometry hacks. l'Hospitals rule will give us a much simpler way to approach that kind of question.
In this lecture, we're going to look at some of the standard situations where l'Hospital's Rule can be used.
Now that we've covered the basic cases, there are some more complex limits that we can also evaluate using l'Hospital's Rule.
