a function is said to be continuous for x€ R, if
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A function f : A → R is continuous if it is continuous at every point of A, and it is continuous on B ⊂ A if it is continuous at every point in B. The definition of continuity at a point may be stated in terms of neighborhoods as follows. x ∈ A ∩ U implies that f(x) ∈ V . I hope that it is clear to u.
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