Editing Limit of a function (section)

==Relationship to continuity==
{{Main|Continuous function}}

The notion of the limit of a function is very closely related to the concept of continuity. A function {{mvar|f}} is said to be [[continuous function|continuous]] at {{mvar|c}} if it is both defined at {{mvar|c}} and its value at {{mvar|c}} equals the limit of {{mvar|f}} as {{mvar|x}} approaches {{mvar|c}}:

<math display="block">\lim_{x\to c} f(x) = f(c).</math>
We have here assumed that {{mvar|c}} is a [[limit point]] of the domain of {{mvar|f}}.