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).

Draw the graph of |y|=[x] , where [.] represents the greatest integer function.

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

Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): f(x)=x-[x-b],b in R

Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): f(x)=tanpi/2[x]

Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): f(x)=(|sinx+cosx|)/(|sinx|+|cosx|)

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

Discuss the continuity of the following functions : f(x)= sin x +cos x