The domain of the function `f(x)=sqrt(x^2-[x]^2)` , where `[x]` is the greatest integer less than or equal to `x ,` is (a) `R` (b) `[0,+oo)` (c) `(-oo,0)` (d) none of these

let f(x)=(sin4pi[x])/(1+[x]^(2)) , where px] is the greatest integer less than or equal to x then

The value of int_(1)^(2)[x]dx , where [x] is the greatest integer less than or equal to x is

The function f(x)=(tan |pi[x-pi]|)/(1+[x]^(2)) , where [x] denotes the greatest integer less than or equal to x, is

Let f(x) = (x^2-9x+20)/(x-[x]) where [x] denotes greatest integer less than or equal to x ), then

The domain of the function f(x)=log_e {sgn(9-x^2)}+sqrt([x]^3-4[x]) (where [] represents the greatest integer function is

The function f(x)=(sec^(-1)x)/(sqrt(x)-[x]), where [x] denotes the greatest integer less than or equal to x , is defined for all x in R (b) R-{(-1,1)uu{n"|"n in Z}} R^+-(0,1) (d) R^+-{n|n in N}

IF the domain of the function f(x) =x^2 -6x +7 is (-oo , oo) then range of the function is

Find the domain of f(x)=sqrt(([x]-1))+sqrt((4-[x])) (where [ ] represents the greatest integer function).

("lim")_(xvec1)(xsin(x-[x]))/(x-1),w h e r e[dot] denotes the greatest integer function is equal to (a) 0 (b) -1 (c) not exist (d) none of these

Let f (x) = [x] , where [x] denotes the greater integer less than or equal to x. if a = sqrt(2011 ^2 +2012 ) then the value of f (a) is equal to