At which points the function `f(x)=x/([x])` , where `[.]` is greatest integer function, discontinuous?

The function f(x) = [x] where [x] is the greatest integer function is continous at

The function f(x) = [x]^2-[x^2] (where [.] denotes the greatest integer function ) is discontinuous at

The function, f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

The function,f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

The number of points at which the function f(x)=(1)/(x-[x])([.] denotes,the greatest integer function) is not continuous is

If f(x)=[2x], where [.] denotes the greatest integer function,then

The points where the function f(x)=[x]+|1-x|,-1

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is discontinuous

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is discontinuous