1 / 12

when

when . (1) Domain of f(x) : . (2) Graph of f(X):. Graph of f(x):. Can we “recover” the value at x=0?. as x gets closer and closer to 0 in any way, without equaling 0, f(x) gets closer and closer to 1. ex:. exist?. Does . Graph of g(x):. as x gets closer and closer to

dayton
Télécharger la présentation

when

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. when (1) Domain of f(x) : (2) Graph of f(X):

  2. Graph of f(x): Can we “recover” the value at x=0?

  3. as x gets closer and closer to 0 in any way, without equaling 0, f(x) gets closer and closer to 1

  4. ex: exist? Does

  5. Graph of g(x):

  6. as x gets closer and closer to a in any way, without equaling x=a, g(x) gets closer and closer to L Same, but with x > a always Same, but with x < a always

  7. For the limit to exist and equal L: Both must exist and equal L In particular, the right and left limits must equal each other

  8. What happens with the limits at x = -2, 1, 2, and 3?

  9. Does exist? x=0 is not in the domain!! 0.5 0.95885108 -0.3 0.98506736 +0.1 0.99833417 -0.0.1 0.99998333 +0.001 0.99999983

  10. However, 0.0001 0.2000 -0.00005 0.0000 (??) 0.00001 0.0000 (??) What’s going on?

More Related