Is greatest integer function [x] is continuous everywhere ?

The function f(x)=x-[x], where | denotes the greatest integer function is (a) continuous everywhere (b) continuous at integer points only ( continuous at non- integer points only (d) differentiable everywhere

The set of all points for which f(x)=|x| |x-1| + 1/( " [ " x+1 " ] ") ([x] is the greatest integer function ) is continuous is

f(x)=[sinx] where [.] denotest the greatest integer function is continuous at:

Prove that the greatest integer function [x] is continuous at all points except at integer points.

The function f(x)=[x], where [x] denotes the greatest integer function,is continuous at

The number of points at which the function f(x)=(1)/(x-[x])([.] denotes,the greatest integer function) is not continuous is

f(x) = [x] (greatest integer function ) is continuous at x = 0 then f(0) = ?

If the function of f(x) = [((x-5)^(2))/(A)]sin(x-5)+a cos(x - 2),"where"[*] denotes the greatest integer function, is continuous and differentiable in (7, 9), then find the value of A

The function f(x)=(sin(pi[x-pi]))/(4+[x]^2) , where [] denotes the greatest integer function, is continuous as well as differentiable for all x in R (b) continuous for all x but not differentiable at some x (c) differentiable for all x but not continuous at some x . (d) none of these

Statement -1 : y = [x] , ([.] denotes greatest integer function) is not a continuous function . Statement -2 : {x} ({.} denotes fractional fractional function) is discontinuous at integral points. Statement -3 : y = 7^(x) is continuous in its domain.