1. 2.2 Limits involving Infinity Day 1
Calculus AB

2. Vocab/Formulas or
Ex: or
Ex:

3. Example 1: Determine the horizontal asymptote

4. Example 2: Find the limit as x approaches ∞. Use the graph and t-table.

5. Example 3: Using the Properties of Limits on pg. 71, find the limit.

6. Example 4: Determine the vertical asymptote
Example 5: Determine the vertical asymptote
NOTE: The graph of a quotient doesn’t always have a vertical asymptote!!! Ex: sinx/x

7. End Behavior Models
For large values of x, use a simple model to mimic the more complicated functions.
Ex: is nearly identical to when x approaches a very large #.

8. Example 4: Show analytically that g(x) would be an end behavior model for f(x)

9. Assignment
Pg. 75 QR: 1-10 EX: 1-22