Let `f(x)=[x^(2)]sin pi x`,`x in R`, the number of points in the interval (0,3] at which the function is discontinuous is _

Let f:Rrarr R be given by f(x)=(x-[x])sin^2pix.The number of points in the interval (-3,3] at which the function is not differentiable is ____________ ([.] donotes greatest integer function)...........

Let f(x)=[x^3 - 3], where [.] is the greatest integer function, then the number of points in the interval (1,2) where function is discontinuous is (A) 4 (B) 5 (C) 6 (D) 7

The number of points at which the function f(x)=(1)/(log)|x| is discontinuous is (1)0(2)1 (3) 2(4)3

In the interval (0, (pi)/(2)) the function f (x) = cos ^(2) x is :

Let f(x)=[2x^(3)-5] I.denotes the greatest integer function.Then number of points in (1,2) where the function is discontinuous, is/are

Number of point in [0,2 pi] wher f(x)=(tan3x)/(1-cos4x) is discontinuous is

The interval in which the function f(x)=sin x+cos x in x in[0,2 pi] is