 # Limits of Rational Functions

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Examples, solutions, videos, worksheets, and activities to help PreCalculus students learn about limits of rational functions.

The following diagram shows the Limits of Rational Functions. Scroll down the page for more examples and solutions on how to use the Limits of Rational Functions. Limits of Rational Functions
There are certain behaviors of rational functions that give us clues about their limits. For the limits of rational functions, we look at the degrees of their quotient functions, whether the degree of the numerator function is less than, equal to, or greater than the degree of the denominator function. These characteristics will determine the behavior of the limits of rational functions.

How to evaluate the limit of k/xn as x goes to infinity (or negative infinity)?

Limit of a Rational Function (synthetic division)
Evaluating a limit of a rational function using synthetic division to factor. Limits at Infinity
Basic Idea and Shortcuts for Rational Functions. Graphing a rational function using limits
Graphing a rational function using limits to find discontinuities and functional asymptotes.

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