Discuss the continuity of `f(x)=(log|x|)sgn(x^2-1),x!=0.`

Discuss the continuity of f(x)=|x|sgn(x^3-x)

Discuss the continuity of f(x)=sgn(x^3-x)

Discuss the continuity of f(x)=sgn(2cosx-1)

Discuss the continuity of f(x)=sgn(x^2-2x+3)

Discuss the continuity of f(x)={(x^2)/(|x|),x!=0 0,x=0

Discuss the continuity of f(x)={1/(e^(x-1)),x!=1 0,x=1

Discuss the continuity of f(x)={|x|cos(1/x),\ \ \ x!=0 0,\ \ \ \ x=0 at x=0

Discuss the continuity of f(x)={(x-a)sin(1/(x-a)),\ \ \ x!=a\ \ \ \ \ \ \ \ \ \ \ \ 0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=a at x=a

Discuss the continuity of f(x) ={:{((sin^2 2x)/(x^2)", "x ne 0),(1", " x= 0):}, at x=0.

Discuss the continuity of the function f(x)={x/(|x|),x!=0 0,x=0