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)=[(log)_e 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).

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

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

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

If [.] denotes the greatest integer function, then f(x)=[x]+[x+(1)/(2)]

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

Let [x] be the greatest integer function f(x)=(sin(1/4(pi[x]))/([x])) is

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