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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.

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Presentation on theme: "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."— Presentation transcript:

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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