# The Limit definition of Continuity

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Examples, solutions, videos, worksheets, and activities to help PreCalculus students learn the Definition of Continuity and how to make a piecewise function continuous.

The following diagram shows the Definition of Continuity. Scroll down the page for more examples and solutions on how to use the Limit Definition of Continuity.

Definition of Continuity
How to use the definition of continuity to determine the discontinuity of a function? The Limit Definition of Continuity - Making Sense of the Definition
In this video, I just try to shed some light on the limit definition of continuity and hopefully make some sense of it. Many people memorize it with no idea of why the definition is what it is; do not be one of those people! Always try to understand the definitions and theorems and things will make much more sense. Continuity : Making a Piecewise Function Continuous
Here we have a piecewise function. We have to find the value for a missing coefficient of one of the functions to make the whole thing into a continuous function. Continuity - Piecewise Function Example

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