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This document discusses methods for evaluating limits from graphs or algebraically using limit laws and properties. It provides examples of using direct substitution to find limits of polynomial and rational functions by taking the limit directly in the function. It also mentions using limits and secant slopes to find the slope of a tangent line.
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- 2. Finding the Limit from Graph
- 3. Limit Laws This section introduces properties of limits, called Limit Laws, to calculate limits. Limit Laws: Suppose that c is a constant and the limits and exist. Then
- 4. Limits Example: Evaluate the following limits.
- 5. Limits Example: Evaluate the following limits.
- 6. Limits Direct Substitution Property : If f is a polynomial or a rational function and a is in the domain of f, then . Example: Find the limit algebraically.
- 7. Limits Reference: commons.wikimedia.org We use limits and the slope of the secant line to find the slope of the tangent line.