Example 3 Evaluate the following limit. It just means that we moved the wrong function to the denominator. Example 2 Evaluate the following limit. To look a little more into this, check out the Types of Infinity section in the Extras chapter at the end of this document. However, we can turn this into a fraction if we rewrite things a little.

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. 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. Example 3 Evaluate the following limit. Sometimes we can use either quotient and in other cases only one will work.

However, we can turn solutlons into a fraction if we rewrite things a little. Notes Quick Nav Download. Note that we really do need to do the right-hand limit here. The topic of this section is how to deal with these kinds of limits. However, we can turn this into a fraction if we rewrite things a little.

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 For the two limits above we work them as follows.

Notes Quick Nav Download. It just means that we moved the wrong function to the denominator. Which one of these two we get after doing the rewrite will depend upon which fact we used to do the rewrite.

For the solutjons limits above we work them as follows.

Example 3 Evaluate the following limit. Some other types are. Well first notice that. However, French spellings have been altered: It just means that we moved indeterminatw wrong function to the denominator. Notice as well that none of the competing interests or rules in these cases won out!

Also, if the denominator is going to infinity, in the limit, we tend to think of the fraction as going to zero. That is often the case.

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

Example 4 Evaluate the following limit. The topic of this section is how to deal with these kinds of limits. There are other types of indeterminate forms as well. So, what did this have foor do with our limit?

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

However, there are many more indeterminate forms out there as we saw earlier. Also, if the denominator is going to infinity, in the limit, we tend to think of the fraction as going to zero.

Sometimes we can use either quotient and in other cases only one will work. Notes Quick Nav Download. 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 them and some of the menu items will be cut off due to the narrow screen width. Which one of these two we get after doing the rewrite will depend upon which fact we used to do the rewrite.

The topic of this section is how to deal with these kinds of limits. So, which will win out? Example 3 Evaluate the following limit. This will help us when it comes time to take some derivatives.

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.

For the indeterminwte limits above we work them as follows. Example 2 Evaluate the following limit.