The following functions are continuous on ( )
tan x
The function is not defined at , so f is not continuous on
Since the function is continuous on and the integral function of a continuous function is continuous, therefore is continuous on
We have,
and,
So, f(x) is continuous at
Evidently f(x) is continuous at all other points.
For the function
and,
So, f(x) is not continuous at .
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