Warm Up Find the derivative of the function: f(x) = -3x 2 + 4 Using the Fundamental Theorem of Calculus and… Using the Rules of Derivatives Then find the.

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Presentation transcript:

Warm Up Find the derivative of the function: f(x) = -3x Using the Fundamental Theorem of Calculus and… Using the Rules of Derivatives Then find the slope at the point (4, -44)

Warm Up #2 Find the horizontal asymptote of:

11.4 Limits at Infinity

Facts About Limits at Infinity If r is a positive real number, then Furthermore, if x r is defined for x < 0, then Example: Evaluate Does this familiar to you?

Graphical Solution Note that the horizontal asymptote is y = 3

Limits at Infinity and Limits of Sequences Graph We know that the horizontal asymptote is the line y = 2. Therefore,

What happens if the exponents are NOT the same?

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