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 is a property of a function where the function values remain close as the input values approach a specific point.
2) Alternatively, continuity can be defined as a function being continuous at a particular point if the limit of the function as the input approaches that point exists and is equal to the function value evaluated at that point.
3) Additionally, continuity can be understood as a function being continuous over a particular interval if it is continuous at every point within that interval.
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