1 / 9

Infinite Limits

Infinite Limits. Lesson 2.5. Previous Mention of Discontinuity. A function can be discontinuous at a point The function goes to infinity at one or both sides of the point, known as a pole Example Enter this function into the Y= screen of your calculator Use standard zoom.

meriel
Download Presentation

Infinite Limits

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. Infinite Limits Lesson 2.5

  2. Previous Mention of Discontinuity • A function can be discontinuous at a point • The function goes to infinity at one or both sides of the point, known as a pole • Example • Enter this function into the Y= screen of your calculator • Use standard zoom

  3. A Special Discontinuity • Using standard-zoom • Note results oftables (♦Y)

  4. Definition of Infinite Limits • Given function f defined for all reals on open interval containing c (except possibly x = c)

  5. Definition of Infinite Limits M --------------

  6. Vertical Asymptotes • When f(x) approachesinfinity as x → c • Note some calculatorsdraw false asymptote • Vertical asymptotes generated byrational functions when g(x) = 0 c

  7. Properties of Infinite Limits • Given Then • Sum/Difference • Product • Quotient

  8. Try It Out • Find vertical asymptote • Find the limit • Determine the one sided limit

  9. Assignment • Lesson 2.5 • Page 108 • Exercises 1 – 57 EOO, 65, 67, 69

More Related