# Definition of Continuity - Continuity of a Function at a Point

#### description

left hand limit, right hand limit

• Condition 1: If f (x) is to be continuous at x = a then f (a) must be defined.
• Condition 2: If f(x) is to be continuous at  x = a then limxa→f (x) must exist.
• Condition 3: If f(x) is to be continuous at  x = a then limxa→f (x) = f (a).
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