f(x)={[[cos pi x],x<1],[|x-2|,1<=x<2]," then "f(x)" is "

The number of points on the function f(x)= [3cos pi x],x in(0,3) (where [ ] represents greatest integer function) at which limit of the function f(x) does not exist,is

The number of points on the function f(x)=[3cos pi x] , x in(0,3) (where [ .] represents greatest integer function) at which limit of the function f(x) does not exist is

Let f(x)=cos2 pi x+x-[x](*] denotes the greatest integer function).Then number of points in [0,10] at which f(x) assumes its local maximum value,is

Let f(x)=cos pi x+10x+3x^(2)+x^(3),-2<=x<=3 The absolute minimum value of f(x) is 0(b)-15 (c) 3-2 pi none of these

if f(x) = cos pi (|x|+[x]), where [.] denotes the greatest integer , function then which is not true ?

Let |x| be the greatest integer less than or equal to x, Then f(x)= x cos (pi (x+[x]) is continous at

Let |x| be the greatest integer less than or equal to x, Then f(x)= x cos (pi (x+[x]) is continous at

If f(x) = cos [pi]x + cos [pi x] , where [y] is the greatest integer function of y then f(pi/2) is equal to

If f(x)=cos{pi/2[x]-x^3}, 1