[" 9.The greatest integer function is defined by "f(x)=[x],0

Prove that the greatest integer function defined by f(x)=[x],0

Prove that the greatest integer function defined by f(x) = [x], 0 < x < 3 is not differentiable at x = 1 and x = 2 .

Prove that the greatest integer function defined by f(x) = [x], 0

Prove that the greatest integer function defined by f(x) =[x] ,0 lt x lt 2 is not differentiable at x=1

Consider the greatest integer function, defined by f(x) =[x],0 le x lt 2 . Then,

Prove that the greatest integer function defined by f(x)= [x], 0 lt x lt 3 is not differentiable at x=1 and x=2.

Find all the points of discontinuity of the greatest integer function defined by f(x) = [x] , where [x] denotes the greatest integer less than or equal to x.