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Limits at infinity

Limits at infinity. Horizontal Asymptotes. End Behavior. Limits at infinity. Graphically Numerically Analytically. Horizontal Asymptotes. Definition The line y = L is a horizontal asymptote of the graph of f if. Limits at Infinity.

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Limits at infinity

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  1. Limits at infinity Horizontal Asymptotes

  2. End Behavior • Limits at infinity Graphically Numerically Analytically

  3. Horizontal Asymptotes • Definition • The line y = L is a horizontal asymptote of the graph of f if

  4. Limits at Infinity • If r is a positive rational number and c is any real number, then • Furthermore, if

  5. Guidelines for Finding Limits of Rational Functions • If the degree in the numerator and denominator are the same, the horizontal asymptote is • If the degree in the numerator is smaller than the degree in denominator, the horizontal asymptote is

  6. Guidelines for Finding Limits of Rational Functions • If the degree in the numerator is larger than the degree in the denominator, there is no horizontal asymptote.

  7. Horizontal Asymptotes • Examples • On-line Examples • More on-line examples • On-line tutorial

  8. Limits Involving Trig Functions • Limit sin x • Limit sin x/ x

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