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2.2 Limits Involving Infinity

2.2 Limits Involving Infinity. Goals: Use a table to find limits to infinity, use the sandwich theorem, use graphs to determine limits to infinity, find vertical and horizontal asymptotes, find right and left end behaviors. Limits involving infinity. Horizontal Asymptote.

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2.2 Limits Involving Infinity

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  1. 2.2 Limits Involving Infinity Goals: Use a table to find limits to infinity, use the sandwich theorem, use graphs to determine limits to infinity, find vertical and horizontal asymptotes, find right and left end behaviors

  2. Limits involving infinity

  3. Horizontal Asymptote Use a table to verify the graph

  4. Sandwich Theorem • Find the limit of using the sandwich theorem

  5. Find the limit

  6. Vertical Asymptotes Step 1: find what makes the denominator zero Step 2: Use graph, table, or algebra to determine if the value is removable or infinite Step 3: Infinite values are vertical asymptotes

  7. Vertical Asymptote

  8. End Behavior (Right and Left) When x is large without bound, it will resemble the Largest power.

  9. End Behavior

  10. Right and Left End Behavior The power function for positive Infinity is different than for Negative infinity…

  11. Homework • 2.2 • InterActMath.com

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