However, French spellings have been altered: There are other types of indeterminate forms as well. Example 2 Evaluate the following limit. We know how to deal with these kinds of limits. However, as we saw in the last example we need to be careful with how we do that on occasion. You appear to be on a device with a “narrow” screen width i.

The former spelling is still used in English where there is no circumflex. Example 3 Evaluate the following limit. In the previous example we used the fact that we can always write a product of functions as a quotient by doing one of the following. Both of these are called indeterminate forms. Notes Quick Nav Download. Likewise, we tend to think of a fraction in which the numerator and denominator are the same as one. As already pointed out we do know how to deal with some kinds of indeterminate forms already.

Now we have a small hoemwork. If the numerator of a fraction is going to infinity we tend to think of the whole fraction going to infinity.

Notes Quick Nav Download. You appear to be on a device with a “narrow” screen width i. This is the problem with indeterminate forms. Example 4 Evaluate the following limit.

# Calculus I – L’Hospital’s Rule and Indeterminate Forms (Practice Problems)

However, we can turn this into a fraction if we rewrite things a little. However, we can turn this into a fraction if we rewrite things a little. Example 4 Evaluate the following limit. Which one of these two we get after doing the rewrite will depend upon which fact we used to do the rewrite.

However, French spellings have been altered: It all depends on which function stays in the numerator and which gets moved down to the denominator. That is often the case. Some other types are. Sometimes we can use either quotient and in other cases only one will work. The topic of this section is how to deal with these kinds of limits. We also have the case of a fraction in which the numerator and denominator are the same ignoring the minus sign and so we might get Both of these are called indeterminate forms.

Notes Practice Problems Assignment Problems. We also have the case of a fraction in which the numerator and denominator are the same ignoring the minus sign and so we might get Both of these are called homewrok forms.

To look a little more into this, fforms out the Types of Infinity section in the Extras chapter at the end of this document. However, when I first learned Calculus my teacher used the spelling that I use in these notes and the first text book that I taught Calculus out of also used the spelling that I use here.

Sometimes we can use either quotient and in other cases only one will work. So, what did this have to do with our limit? However, when I first learned Calculus my teacher used the spelling that I use in these notes and the first text book that I taught Calculus out dor also used the spelling that I use here.

Sometimes we can use either quotient and in other cases only one will work. That is often the case. This will help us when it comes time to take some derivatives.

The topic of this section is how to deal with these kinds of limits. Notes Quick Nav Download. Now we have a small problem.

Now we have a small problem. Notice as well that none of the competing interests or rules in these cases won out! If your device is not in landscape mode many of the equations will run off the side of your device should be able to scroll to see lhkpitals and some of the menu items will be cut off due to the narrow indrterminate width. It just means that we moved the wrong function to the denominator. Sometimes we can use either quotient and in other cases only one will work.