If `f : R->R and f(x)=(sin((x)pi)/(x^2+2x+3)+2x-1+sqrt(x(x-1)+1/4)` (where [x] donotes integral part of x) , then `f(x)` is -

If f:R rarr R and f(x)=((sin((x)pi))/(x^(2)+2x+3)+2x-1+sqrt(x(x-1)+(1)/(4)) (where [x] donotes integral part of x), then f(x) is

Let f(x)=(sin^(101)x)/([(x)/(pi)]+(1)/(2)) , where [x] denotes the integral part of x is

If f:R rarr R and f(x)=(sin(pi{x}))/(x^(4)+3x^(2)+7) where {} is a fractional part of x, then

If f:R->R and f(x)=sin(pi{x})/(x^4+3x^2+7) , where {} is a fractional part of x , then

If f:R->R and f(x)=sin(pi{x})/(x^4+3x^2+7) , where {} is a fractional part of x , then

If f : R to [-1, 1] , where f(x)=sin(pi/2[x]) (where [.] denotes the greatest integer function), then the range of f(x) is

If f: R to R is defined by f(x)=x-[x]-(1)/(2) for all x in R , where [x] denotes the greatest integer function, then {x in R: f(x)=(1)/(2)} is equal to

If f: R to R is defined by f(x)=x-[x]-(1)/(2) for all x in R , where [x] denotes the greatest integer function, then {x in R: f(x)=(1)/(2)} is equal to

If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1) , then f(x) is