A related collection of definitions for one sided limits and continuity usually appear directly after the traditional definitions to allow further consideration of functions defined by cases and functions with domains other than open intervals.

Here are traditional versions of these definitions.

Definition of One-Sided Limit: CCD.DOSL

Definition of Continuity (at a Point): CCD.DCP

Definition of Continuity (on an Interval): CCD.DCI

**Dynamic visualization of the definitions of limit and continuity:
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The connection between limits and continuity are reinforced with several key illuminating examples, improved by using mapping diagrams along with graphs.

CCD.DLC.Example.1. A Removeable Discontinuity.

CCD.DLC.Example.2. A Step Discontinuity.

CCD.DLC.Example.3. A Vertical Asymptote Discontinuity ("Blowing Up").