A continuity is a continuous line that is consistent with no breaks, holes, or jumps. On the other hand, a discontinuity has one or many of these (breaks/holes/jumps) that make it discontinuous.
From: conservapedia.com people.hofstra.edu
2. What is a limit? When does a limit exist? When does a limit not exist? What is the difference between a limit and a value?
A limit is the intended height of any graph, which exists when both the left and right limits are the same. A limit does not exist when the graph has a break any of the non-removable discontinuities, but a limit does exist in a point discontinuity.
3. How do we evaluate limits numerically, graphically, and algebraically?
To evaluate a limit numerically we must use a table labelled with x-values and f(x).
From: sribd.com
To evaluate a limit graphically we use our fingers to physically run down the graph until our fingers meet.
To evaluate a limit algebraically we use direct substitution, aslong as you don't get 0/0 you are have found the limit.
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