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

The number of points where f(x)= sgn (x^(2)-3x+2)+[x-3], x in [0,4], is discontinuous is (where [.] denotes the greatest integer function )_____.

Let f(x) = [sin ^(4)x] then ( where [.] represents the greatest integer function ).

Number of points where f(x) = sqrt(x^(2)) +[x] ^(2) , x in [-2,2] is discontinuous is ( where [.] re[presents the greatest interger function )______.

If f(x)=|x-1|.([x]=[-x]), then (where [.] represents greatest integer function)

If f(x)=[x](sin kx)^(p) is continuous for real x, then (where [.] represents the greatest integer function)

If lim_(x rarr 0)x[4/x]= A , then the value of x at which f(x) = [x^2]sinpix is discontinuous , (where [.] denotes greatest integer function)

The number of values of x , x ∈ [-2,3] where f (x) =[x ^(2)] sin (pix) is discontinous is (where [.] denotes greatest integer function)

lim_(xrarr0) [(100 tan x sin x)/(x^2)] is (where [.] represents greatest integer function).

If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represent the greatest integer function)

If f(x) = (e^([x] + |x|) -3)/([x] + |x|+ 1) , then: (where [.] represents greatest integer function)