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

Discuss the continuity of the function (I.] represents the greatest integer function ):f(x)=[log_(e)x]

Discuss the continuity of the function ([.] represents the greatest integer function ):f(x)=[(2)/(1+x^(2))],x>=0

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

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

Find the points of discontinuity of the function: f(x)=[[x]]-[x-1], where [.] represents the greatest integer function

Domain of log_([x+1])(x-1) is ([.] represents greatest integer function)