# 8.6: Applications of One-Sided Limits

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**Practice**Applications of One-Sided Limits

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continuity

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.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.Jump discontinuities

Inverse functions are functions that 'undo' each other. Formally and are inverse functions if .limit

A limit is the value that the output of a function approaches as the input of the function approaches a given value.one-sided limit

A one-sided limit is the value that a function approaches from either the left side or the right side.Removable discontinuities

Removable discontinuities are also known as holes. They occur when factors can be algebraically canceled from rational functions.Removable discontinuity

Removable discontinuities are also known as holes. They occur when factors can be algebraically canceled from rational functions.two-sided limit

A two-sided limit is the value that a function approaches from both the left side and the right side.### Image Attributions

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Computing the limit of a function by identifying one-sided limits

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Date Created:

Nov 01, 2012
Last Modified:

Mar 23, 2016
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