Now we have a small problem. That is often the case. Also, if the denominator is going to infinity, in the limit, we tend to think of the fraction as going to zero. Some other types are,. 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.

Sometimes we can use either quotient and in other cases only one will work. So, what did this have to do with our limit? Click HERE to see a detailed solution to problem Notes Quick Nav Download. 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 This is the problem with indeterminate forms.

That is often the case. Likewise, we tend to think of indeterminatd fraction in which the numerator and denominator are the same as one. Likewise, we tend to think of a fraction in which the numerator and denominator are the same as one. Well first notice that. That is often the case.

Which one of these two we get after doing the rewrite will depend upon which fact we used to do the rewrite. However, as we saw in the last example we need to be solutins with how we do that on occasion. Some other types are. Note that we really do need to do the right-hand limit here.

As already pointed out we do know how to deal with some kinds of indeterminate forms already. Now we have a small problem. Sometimes we can use either quotient and in other cases only one will work.

Example 3 Evaluate the following limit.

Example 1 Example 1 Evaluate each of the following limits. Now we have a small problem. Also, if the denominator is going to infinity, in the limit, we tend to think of the fraction as going to zero. Example 3 Evaluate the following limit. If the numerator of a fraction is going to infinity we tend to think of the whole fraction going to infinity.

Notice as well that none of the competing interests or rules in these cases won out! The topic of this section is how to deal with these kinds of limits.

Sometimes we can use either quotient and in other cases only one will work. Notice as well that none of the competing interests or rules in these cases won out! For the two limits above we work them as follows.

We also have the case of a fraction in which the numerator and denominator are the same ignoring the minus fodms and so we might get Due to the nature of the mathematics on this site it is best views in landscape mode.

That is often the case.

# Calculus I – L’Hospital’s Rule and Indeterminate Forms

However, as we saw in the last example we need to be careful with how we do that on occasion. The topic of this section is how to deal with these kinds of limits.

Example 1 Example 1 Evaluate each of the following limits. For the two limits above we work them as follows.

# Calculus I – L’Hospital’s Rule and Indeterminate Forms

As already pointed out we do know how to deal with some kinds of indeterminate forms already. If the numerator form a fraction is going to infinity we tend to think of the whole fraction going to infinity.

Some other types are. So, which will win out? It all depends on which function stays in the numerator and which gets moved down to the denominator.

Likewise, we tend to think of a fraction in which the numerator and denominator are the same as one.