Definition of Continuity:1) ___________________2) ___________________3) ___________________
1) f(c) is defined2) lim x->c of f(c) exits3) lim x-> c of f(x) = f(c)
1) Continuity refers to the property or quality of being continuous or unbroken. In mathematics, continuity refers to a property of a function in which small changes in the input result in small changes in the output.
2) In technical terms, a function is said to be continuous if, for every point in its domain, the limit of the function equals the value of the function at that point.
3) Alternatively, continuity can be defined as a function whose graph can be drawn without lifting the pencil off the paper. This means that there are no abrupt changes or breaks in the function’s values as the input varies.
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