1 / 17

Limits and Continuity

Limits and Continuity. Limits. What is a Limit? A limit is the value a function approaches. What are the limits?. What are the Limits. Find the Limits Algebraically. Limits to Infinity. More Limits to Infinity. Continuity. What is Continuity?

shanae
Download Presentation

Limits and Continuity

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. Limits andContinuity

  2. Limits • What is a Limit? • A limit is the value a function approaches

  3. What are the limits?

  4. What are the Limits

  5. Find the Limits Algebraically

  6. Limits to Infinity

  7. More Limits to Infinity

  8. Continuity • What is Continuity? • You can draw the graph without lifting your pencil!

  9. Intermediate Value Theorem • What is the Intermediate Value Theorem? • If is continuous on a closed interval [a,b] , and w is any number between f(a) and f(b) inclusive, then there is at least one number c in the closed interval such that f(c)=w.

  10. Why does the IVT Matter?

  11. Continuity

  12. Continuity • What value of k will make the function continuous?

  13. Continuity • Solve for a and b to make continuous

More Related