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

Discuss the continuity of the function (I.] 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 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 the function f given f(x)=|x| at x=0

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

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

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

Draw the graph and discuss the continuity of f(x)=[sin x+cos x],x in[0,2 pi), where [.] represents the greatest integer function.