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) In calculus, continuity refers to a function being continuous over a given interval or set of numbers, meaning that the function’s graph is unbroken in that interval.
2) In mathematics, continuity can also refer to the property of a mathematical object remaining unchanged as another object changes continuously. For example, a continuous function will produce continuous outputs for continuous inputs.
3) In physics and engineering, continuity refers to the unbroken flow of a substance or energy through a system, without interruption or change in direction. It can also refer to the conservation of certain properties, such as mass or energy, within a given system.
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