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Limits at Infinity

Limits at Infinity. Definition. If or , then the line y = L is called horizontal asymptote of the curve y = f(x). Example. Plot the curve y = tan -1 x Find the following limits Write the equation for the two horizontal asymptotes. Example:.

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Limits at Infinity

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  1. Limits at Infinity

  2. Definition • If or , then the line y = L is called horizontal asymptote of the curve y = f(x)

  3. Example • Plot the curve y = tan-1 x • Find the following limits • Write the equation for the two horizontal asymptotes

  4. Example: Find the following

  5. Limit Evaluation • If r>0 and is a rational number, then

  6. Example

  7. Example • Find the horizontal and vertical asymptotes of

  8. Example Compute:

  9. More Examples

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