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11.4 Limits at Infinity

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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  1. 11.4 Limits at Infinity “x gets infinitely large”

  2. 11.4 Limits at Infinity The line y = L is a Horizontal Asymptote of f(x).

  3. 11.4 Limits at Infinity • degree of NUM = degree of DEN Limit =

  4. 11.4 Limits at Infinity • degree of NUM < degree of DEN Limit = 0

  5. 11.4 Limits at Infinity • degree of NUM > degree of DEN. Limit DNE because it increases infinitely.

  6. Ex 1: Evaluate

  7. Ex 2: Evaluate

  8. Ex 3: Evaluate

  9. 11.4 Limits of Sequences

  10. 11.4 Limits of Sequences • If the limit exists, then anconverges. • If the limit DNE, then andiverges.

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

  12. 11.4 pg.817 # 9 – 27 odds,# 39 – 51 EOO

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