Let `f (x) =[x] and g (x) =0` when x is an integer and `g (x) =x ^(2)` when x is not an integer ([] is ghe greatest integer function) then:

The greatest integer function f(x)=[x] is -

Let f(x) = [x] and [] represents the greatest integer function, then

Let f(x) = [x] and [] represents the greatest integer function, then

If f(x)={{:("0, when x is an integer ,"),("2, when x is not an integer,"):} then f(pi) =

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

If f(x) = 0 when x is an integer. = 2 when x is not an integer, then find - (a) f(0), (b) f(sqrt2) .

Let f(x)=-x^(2)+x+p , where p is a real number. If g(x)=[f(x)] and g(x) is discontinuous at x=(1)/(2) , then p - cannot be (where [.] represents the greatest integer function)

Let f(x)=-x^(2)+x+p , where p is a real number. If g(x)=[f(x)] and g(x) is discontinuous at x=(1)/(2) , then p - cannot be (where [.] represents the greatest integer function)

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