If [.] denotes the greatest integer function then the number of points where `f(x)=[x]+[x+(1)/(3)]+[x+(2)/(3)]` is Discontinuous for `x in(0,3)` are

If f(x)=[2x], where [.] denotes the greatest integer function,then

If f (x) = {{:([x], , 0 le x lt 3),(|[x]+1|, , - 3 lt x lt 0):}, where [.] denotes greatest integer function, then number of point at which f (x) is discontinuous in (-3,3), is equa to ________.

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

Let f (x) = x . [(x)/(2)] for - 10 lt x lt 10 , where [t] denotes the greatest integer function . Then the number of points of discontinuity of f is equal to _______.

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

Find the number of points where f(x)=[(x)/(3)],x in[0,30], is discontinuous (where I.Jrepresents greatest integer function).

Let [t] denote the greatest integer lt t . The number of points where the function f(x) = [x]abs(x^2-1) + sin (pi/([x] + 3)) - [x + 1], x in (-2, 2) is not continuous is _________.

If f(x)=([x])/(|x|),x ne 0 where [.] denotes the greatest integer function, then f'(1) is

If f(x)=(x-[x])/(1-[x]+x), where [.] denotes the greatest integer function,then f(x)in:

f(x)={8^((1)/(x)),x =0 (where [.] denotes the greatest integer function).Then (a) f(x) is continuous only at a a finite number of points (b) Discontinuous at a finite number of points.(b) Discontinuous at an infinite number of points.(d)Discontinuous at an x=0