At how many points is the fucntion `f(x)=[x]` discontinuous?

At how many points is the function f(x)=[x] discontinuous?

The fucntion f(x)=x+cos x is

at which points the function f(x)=((x)^(2))/([x]) is discontinuous?

The fucntion f(x) =x^3-3x, is

The number of points at which the function f(x) = 1/(log|x|) is discontinuous are

The number of points at which the function f(x)=(1)/(log|x|) is discontinuous is ___

The number of points at which the function f(x)=(1)/(log|x|) is discontinuous is

f(x)={8^((1)/(x)),x =0 (where [.] denotes the greatest integer function).Then (a) f(x) is continuous only at a a finite number of points (b) Discontinuous at a finite number of points.(b) Discontinuous at an infinite number of points.(d)Discontinuous at an x=0