Let `f(x)`=`(sin {pi[x-pi]})/(1+[x^(2)])`, where [.] stands for the greatest integer function. Then, f(x) is continuous or not?

Let f(x) = (sin (pi [ x + pi]))/(1+[x]^(2)) where [] denotes the greatest integer function then f(x) is

Let f(x) = (sin (pi [ x - pi]))/(1+[x^2]) where [] denotes the greatest integer function then f(x) is

If f(x)=cos[pi^2]x +cos[-pi^2]x , where [x] stands for the greatest integer function, then

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

The function f(x)=(sin(pi[x-pi]))/(4+[x]^2) , where [] denotes the greatest integer function,(a) is continuous as well as differentiable for all x in R (b) continuous for all x but not differentiable at some x (c) differentiable for all x but not continuous at some x . (d) none of these

The function f(x)=(sin(pi[x-pi]))/(4+[x]^2) , where [] denotes the greatest integer function, (a) is continuous as well as differentiable for all x in R (b) continuous for all x but not differentiable at some x (c) differentiable for all x but not continuous at some x . (d) none of these

Let f(x) = [x]^(2) + [x+1] - 3 , where [.] denotes the greatest integer function. Then

f(x)=[sinx] where [.] denotest the greatest integer function is continuous at:

If f(x)=cos[pi/x] cos(pi/2(x-1)) ; where [x] is the greatest integer function of x ,then f(x) is continuous at :

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then