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- Sir how to check continuity at a point
Sir how to check continuity at a point??
Answers (1)
@Nilesh
A function f(x) is continuous at a point a if a is in the domain of f(x) (that is, f(a) exists as a number) and if limx→a f(x) = f(a). If f(x) is continuous at every point of an interval I, then f(x) is a continuous function over I.
A number a is a discontinuity of a function f(x) if one of the following occurs
(i) a is not in the domain of f(x),
(ii) if a is in the domain of f(x) but limx→a f(x) does not exist,
(iii) if a is in the domain of f(x) and limx→a f(x) = L exists but f(a) not equal to L.
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