Find the value of `x` in `[1,3]` where the function `[x^2+1]([dot]` represents the greatest integer function) is discontinuous.

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

Evaluate: int_0^(100)x-[x]dx where [dot] represents the greatest integer function).

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]

Test the continuity and differentiability of the function f(x)=|(x+1/2)[x]| by drawing the graph of the function when -2lt=x<2, where [dot] represents the greatest integer function.