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Limx c f x f c the limit of f x as x approaches c equals f c the limit says.
Domain function continuous. A continuous domain means that all values of x included in an interval can be used in the function. A rigorous definition of continuity of real functions is usually given in a first. Such a function is continuous if roughly speaking the graph is a single unbroken curve whose domain is the entire real line.
A real function that is a function from real numbers to real numbers can be represented by a graph in the cartesian plane. When a function is continuous within its domain it is a continuous function. A continuous function with a continuous inverse function is called a homeomorphism.
Otherwise a function is said to be a discontinuous function. A function f is continuous when for every value c in its domain. F c is defined and.
If the domain of a function was the interval from 1 to 2 that would mean that all values between.
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