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

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

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

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

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

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

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

Let f(x)=[sinx + cosx], 0ltxlt2pi , (where [.] denotes the greatest integer function). Then the number of points of discontinuity of f(x) is :

Let f(x)={8^(1/x),x<0a[x],a in R-{0},xgeq0, (where [.] denotes the greatest integer function). Then (a) f(x) is Continuous only at a finite number of points (b)Discontinuous at a finite number of points. (c)Discontinuous at an infinite number of points. (d)Discontinuous at x=0

Let f(x)={8^(1/x),x<0a[x],a in R-{0},xgeq0, (where [.] denotes the greatest integer function). Then (a) f(x) is Continuous only at a finite number of points (b)Discontinuous at a finite number of points. (c)Discontinuous at an infinite number of points. (d)Discontinuous at x=0