Question

 if f is defined only at one point ,it is continuous there , ie if the domain of f is singleton , f is a continuous function

Answer 1

Since the limit of f at x = 0 does not coincide with f (0), the function is notcontinuous at x = 0. ... of thisdefinition, if f is defined only at one point, it is continuous there, i.e., if the domain of f is a singleton, f is a continuous function.

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Answer 2

continuous there , ie if the domain of f is singleton , f is a continuous function
Since the limit of f at x = 0 does not coincide with f (0), the function is notcontinuous at x = 0. ... of thisdefinition, if f is defined only at one point, it is continuous there, i.e., if the domain of f is a singleton, f is a continuous