# 8.5: Rational Function Limits

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Conjugates

Conjugates are pairs of binomials that are equal aside from inverse operations between them, e.g. and .Continuous

Continuity for a point exists when the left and right sided limits match the function evaluated at that point. For a function to be continuous, the function must be continuous at every single point in an unbroken domain.discontinuous

A function is discontinuous if the function exhibits breaks or holes when graphed.limit

A limit is the value that the output of a function approaches as the input of the function approaches a given value.Rational Function

A rational function is any function that can be written as the ratio of two polynomial functions.rationalization

Rationalization generally means to multiply a rational function by a clever form of one in order to eliminate radical symbols or imaginary numbers in the denominator. Rationalization is also a technique used to evaluate limits in order to avoid having a zero in the denominator when you substitute.theorem

A theorem is a statement that can be proven true using postulates, definitions, and other theorems that have already been proven.### Image Attributions

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Finding limits of rational functions algebraically.

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Date Created:

Nov 01, 2012
Last Modified:

Mar 23, 2016
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