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More Lessons for PreCalculus

Math Worksheets

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/x**^{n} 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.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for PreCalculus

Math Worksheets

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.

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.

Evaluating a limit of a rational function using synthetic division to factor.

Basic Idea and Shortcuts for Rational Functions.

Graphing a rational function using limits to find discontinuities and functional asymptotes.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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