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# 8.6: Applications of One-Sided Limits

Difficulty Level: At Grade Created by: CK-12
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### Vocabulary Language: English

continuity

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

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

Jump discontinuities

Inverse functions are functions that 'undo' each other. Formally $f(x)$ and $g(x)$ are inverse functions if $f(g(x)) = g(f(x)) = x$.
limit

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

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

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

Removable discontinuity

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

two-sided limit

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

Nov 01, 2012

Jun 08, 2015