The function `f(x)=[x]^2-[x^2]` is discontinuous at (where `[gamma]` is the greatest integer less than or equal to `gamma`), is discontinuous at

The function f(x)=x-[x]+cos x, where [x]= the greatest integer less than or equal to x is a

If f(x)=x-[x], where [x] is the greatest integer less than or equal to x, then f(+1/2) is:

Show that the function defined by g(x)=x[x] is discontinuous at all integral points.Here [x] denotes the greatest integer less than or equal to x.

Show that the function defined by g(x)=x-[x] is discontinuous at all integral points. Here, [x] denotes the greatest integer less than or equal to x.

The domain of the function f(x)=cos^(-1)[secx] , where [x] denotes the greatest integer less than or equal to x, is

The domain of the function f(x)=cos^(-1)[secx] , where [x] denotes the greatest integer less than or equal to x, is

f(x)=[(x^(3)+4x)/(2)] is discontinuous at x equal to (where [.] denotes the greatest integer function)