2.4: L'Hopital's Rule
There are some instances in calculus where a limit cannot be determined from the given information, but the limit does exist. There is a rule that can be used along with previously learned concepts that can find these unique limits.
Section 2.4 uses L'Hopital's rule to explain limits at infinity when the limit is in an indeterminate form. This rule can help define these limits by applying rules of derivatives.
Take notes as you watch these videos. Listen to the presentation carefully until you are able to understand and apply L'Hopital's rule to various problems.
Please click on the link, and read the section on limits at infinity. Watch the video within the section. At the end of the instruction, you should be able to apply L'Hopital's rule and examine end behavior on infinite intervals and infinite limits at infinity. Then, complete review questions 1-10 at the bottom of the page. These exercises will provide you with the opportunity to apply L'Hopital's rule. The solutions to these problems are located here.
Complete this activity, which tests your knowledge on derivatives using the definition with slope and limits. You can review the concepts associated with these questions with the Khan Academy videos in the "Stuck? Watch a Video" section (or review other content within the section). Compute the answer to the given problem, and input your response into the answer box. Then, click on "Check Answer" to see if you were correct or if you need to try again. Work through all of the problems.