define continuity ( maths)
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Continuity, in mathematics, rigorous formulation of the intuitive concept of a function that varies with no abrupt breaks or jumps. ... Continuity of a function is sometimes expressed by saying that if the x-values are close together, then the y-values of the function will also be close.......
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In mathematics, a continuous function is a function that does not have any abrupt changes in value, known as discontinuities. More precisely, sufficiently small changes in the input of a continuous function result in arbitrarily small changes in its output. If not continuous, a function is said to be discontinuous
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