1 / 9

Indeterminate Forms and L’Hopital’s Rule

Indeterminate Forms and L’Hopital’s Rule. Lesson 8.7. Problem. There are times when we need to evaluate functions which are rational At a specific point it may evaluate to an indeterminate form. Example of the Problem. Consider the following limit: We end up with the indeterminate form

waneta
Télécharger la présentation

Indeterminate Forms and L’Hopital’s Rule

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Indeterminate Forms and L’Hopital’s Rule Lesson 8.7

  2. Problem • There are times when we need to evaluate functions which are rational • At a specific point it may evaluate to an indeterminate form

  3. Example of the Problem • Consider the following limit: • We end up with the indeterminate form • Note why this is indeterminate

  4. L’Hopital’s Rule • When gives an indeterminate form (and the limit exists) • It is possible to find a limit by • Note: this only works when the original limit gives an indeterminate form

  5. Example • ConsiderAs it stands this could be • Must change to format • So we manipulate algebraically and proceed

  6. This is not an indeterminate result Example • Consider • Why is this not a candidate for l’Hospital’s rule?

  7. Example • Try • When we apply l’Hospital’s rule we get • We must apply the rule a second time

  8. Hints • Manipulate the expression until you get one of the forms • Express the function as a fraction to get

  9. Assignment • Lesson 8.7 • Page 574 • Exercises 1 – 33 EOO

More Related