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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.

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Infinite Limits

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  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

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