Discuss the continuity of the function ([.] represents the greatest integer function): `f(x)=[(log)_e x]`

Discuss the continuity of the function ([.] represents the greatest integer function): f(x)=[sin^(-1)x]

Discuss the continuity of the function ([.] represents the greatest integer function): f(x)=[2/(1+x^2)],xgeq0

Discuss the continuity of f(x)=[tan^(-1)x]([dot] represents the greatest integer function).

Discuss the continuity of the function f(x) = |x -1| at x=1

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

Let f(x) = [x] and [] represents the greatest integer function, then

Discuss the continuity of the function f (x)= |x| " at " x=0

Find the points of discontinuity of the function: f(x)=[[x]]-[x-1],w h e r e[dot] represents the greatest integer function

Discuss the continuity of f(x)={cot^(-1)x}({dot} represents the fractional part function).

Let f(x) = [sin ^(4)x] then ( where [.] represents the greatest integer function ).