1 / 11

Section 1.2

Section 1.2. Finding Limits Graphically and Numerically. What is a limit?. Finding limits numerically. F(x) = (x 2 – 3x + 2)/(x – 2). Finding limits graphically:. Finding limits:. Find. Limits that fail to exist:. 1). Limits that fail to exist:. 2) 3). Limits that fail to exist:.

merrill-donaldson
Télécharger la présentation

Section 1.2

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. Section 1.2 Finding Limits Graphically and Numerically

  2. What is a limit?

  3. Finding limits numerically. F(x) = (x2 – 3x + 2)/(x – 2)

  4. Finding limits graphically:

  5. Finding limits: Find

  6. Limits that fail to exist: 1)

  7. Limits that fail to exist: 2) 3)

  8. Limits that fail to exist: 4)

  9. A formal definition of a limit • If f(x) becomes arbitrarily close to a single number L as x approaches c from either side than . • For each ε > , there exists a > such that if 0 < | x- c| < , then |f(x) – L| < ε

  10. Finding a for a given ε • Find . Then find > 0 such that |f(x) – L| < 0.01 whenever 0 < |x – c| <

  11. Using the definition of a limit • Prove • Prove =-1

More Related