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

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 f(x)=[tan^(-1)x]([dot] 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

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

Discuss the contiuity of the funtion f(x) =[x] +|1-x|, -1 le xle 3, where [.] represents the greatest integer function .

Discuss continuity of f(x) =[sin x] -[cos x] at x=pi//2, where [.] represent the greatest integer function .

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

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