11.4 Limits at Infinity

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# 11.4 Limits at Infinity - PowerPoint PPT Presentation

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 &lt; degree of DEN Limit = 0.

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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

11.4 Limits at Infinity
• degree of NUM > degree of DEN.

Limit DNE because it increases infinitely.

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