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

Range of greatest integer function is…….

Let [.] represent the greatest integer function and f (x)=[tan^2 x] then :

Let f : R rarr R be the Signum Function defined as f(x) = {(1,xgt0),(0,x = 0),(-1,xlt0):} and g : R rarr R be the Greatest Integer Function given by g(x) = [x] , where [x] is greatest integer less than or equal to x. Then , does fog and gof coincide in (0,1] ?

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

Prove that the Greatest Integer Function f : R rarr R , given by f(x) = [x] , is neither one - one nor onto , where [x] denotes the greatest integer less than or equal to x.

f(x)=log(x-[x]) , where [*] denotes the greatest integer function. find the domain of f(x).

Prove that the function defined by f(x)= tan x is a continuous function