Continuity and Differentiability

Suppose f is a real function on a subset of the real numbers and c be a point in the domain of f. Then, f is continuous at c, if

More elaborately, we can say that f is continuous at c, if

If f is not continuous at c, then we say that f is discontinuous at c and c is called the point of discontinuity. A real function f is said to be continuous, if it is continuous at every point in the domain of f.If f and g are two contin…

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