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 fundamental concept in calculus and analysis that describes the behavior of a function near a particular point as the input approaches that point.
2) More precisely, a function is said to be continuous at a point if the limit of the function as the input approaches that point exists and is equal to the value of the function at that point.
3) Graphically, a function is continuous if its graph is a continuous curve, meaning that there are no breaks, jumps, or gaps in the curve.
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