Number of points where f(x)= 2x +{3x} is discontinuous in 0 2 is (where is G.I.F and {} is fractional part)

The number of points where f(x) is discontinuous in [0,2] where f(x)={[cos pi x]:x 1}

Let f(x)=abs(2x^2+5abs(x)-3) If m is the number of points where f(x) is discontinuous and m is the number of points where f(x) is non-differentiable then value of m+n is

The number of points where f(x) is discontinuous in [0,2] where f(x) = { [cos pix ;x<1 , [x-2] ; x>1} where [.] represents G.I.F. is :

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

[" Numbers of points in the interval "[0,pi]" where "f(x)=[2cos x]" is "],[" discontinuous is (where "[.]" represent greatest integer "],[" function) "]

The number of solutions of 4{x}=x+[x] is p and the number of solutions of {x+1}+2x=4[x+1]-6 is q, where [.] denotes G.I.F and {.} denotes fractional part. Then

If f(x)=(x-e^(x)+cos2x)/(x^(2)) where x!=0 , is continuous at x=0 then (where, {.} and [x] denotes the fractional part and greatest integer)