2.2 Limits involving Infinity Day 1

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Presentation transcript:

2.2 Limits involving Infinity Day 1 Calculus AB

Vocab/Formulas or Ex: or Ex:

Example 1: Determine the horizontal asymptote

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

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

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

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 #.

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

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