11 4 limits at infinity
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11.4 Limits at Infinity PowerPoint PPT Presentation


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11.4 Limits at Infinity. “x gets infinitely large”. 11.4 Limits at Infinity. The line y = L is a Horizontal Asymptote of f(x). 11.4 Limits at Infinity. degree of NUM = degree of DEN Limit =. 11.4 Limits at Infinity. degree of NUM < degree of DEN Limit = 0.

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11.4 Limits at Infinity

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11 4 limits at infinity

11.4 Limits at Infinity

“x gets infinitely large”


11 4 limits at infinity1

11.4 Limits at Infinity

The line y = L is a Horizontal Asymptote of f(x).


11 4 limits at infinity2

11.4 Limits at Infinity

  • degree of NUM = degree of DEN

    Limit =


11 4 limits at infinity3

11.4 Limits at Infinity

  • degree of NUM < degree of DEN

    Limit = 0


11 4 limits at infinity4

11.4 Limits at Infinity

  • degree of NUM > degree of DEN.

    Limit DNE because it increases infinitely.


Ex 1 evaluate

Ex 1: Evaluate


Ex 2 evaluate

Ex 2: Evaluate


Ex 3 evaluate

Ex 3: Evaluate


11 4 limits of sequences

11.4 Limits of Sequences


11 4 limits of sequences1

11.4 Limits of Sequences

  • If the limit exists, then anconverges.

  • If the limit DNE, then andiverges.


Ex 4 write the first 4 terms and find the limit of the sequence

Ex 4: Write the first 4 terms and find the limit of the sequence:


11 4 pg 817 9 27 odds 39 51 eoo

11.4 pg.817 # 9 – 27 odds,# 39 – 51 EOO


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