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

Discuss the continuity of the function (x)/(|x|),x!=00,x=0

Discuss the continuity of f(x)={x^(2)sin((1)/(x)),quad x!=0quad 0,quad x= at x=0

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

Discuss the continuity of f(x)={2x-1,quad x =0 at x=0

Discuss the continuity of f(x)={|x|cos((1)/(x)),quad x!=00,quad x=0 at x=0

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

Discuss the continuity of f(x) ={:{(cos""(1)/(x)", "x ne 0),(" "1", " x= 0):},

Discuss the continuity of f(x) ={:{(sin""(1)/(x)", "x ne 0),(" "1", " 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)=|x|+|x-1| at x=0 and x=1.