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

Draw the graph of y = [cos x], x in [0, 2pi], where [*] represents the greatest integer function.

Evaluate: int_0^(100)x-[x]dx where [dot] represents the greatest integer function).

The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (where [.] represents the greatest integer function). -1 (b) 1 (c) 0 (d) none of these

Draw the graph of |y|=[x] , where [.] represents the greatest integer function.

Draw the graph of f(x) = [x^(2)], x in [0, 2) , where [*] denotes the greatest integer function.

Draw the graph and find the points of discontinuity f(x) = [2cos x] , x in [0, 2pi] . ([.] represents the greatest integer function.)

Draw the graph and discuss the continuity of f (x) = [sin x + cos x], x in [0, 2pi), where [.] represents the greatest integer function.

Prove that [lim_(xto0) (sinx)/(x)]=0, where [.] represents the greatest integer function.