Finding Limits Graphically and Numerically

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Presentation transcript:

Finding Limits Graphically and Numerically Section 1.2 Finding Limits Graphically and Numerically

Estimating a Limit Numerically x -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x)

Finding a Limit

Limits That Fail to Exist Behavior that differs from right to left.

Limits That Fail to exist Unbounded Behavior

Limits That Fail to Exist Oscillating Behavior

Evaluating Limits Analytically Section 1.3 Evaluating Limits Analytically

Properties of Limits

Properties of Limits

The Limit of a Polynomial

The Limit of a Rational Function

Limits of Trigonometric Functions

Finding the Limit of a Function

Dividing Out Technique

Rationalizing Technique

A Limit Involving a Trigonometric Function

A Limit Involving a Trigonometric Function