Continuity function class 12

Define continuity of a function at a point.

The domain of continuity of the function f(x) = tan x is

Discuss the continuity of the function defined by f(x)={x+2, if x 0

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

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

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 the function ([.] represents the greatest integer function): f(x)=[sin^(-1)x]

Discuss continuity of function f(x)=1+ lim_(n to oo) cos^(2n) x. Draw the graph of the function and find the period of the function .

Discuss the continuity of the function f(x)= {(x , 0 le x lt1/2 ),( 12,x=1/2),( 1-x , 1/2ltxle1):} at the point x=1//2 .