Discuss the continuity of `f(x)={x^2sin(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)={(x-a)sin(1/(x-a)),\ \ \ x!=a\ \ \ \ \ \ \ \ \ \ \ \ 0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=a at x=a

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^2)/(|x|),x!=0 0,x=0

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

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

Discuss the differentiability of f(x)={x^2sin(1/x),\ \ \ \ x!=0 ; 0 if x=0 at x=0

Discuss the continuity of f(x)={2x-1,\ \ \ x<0 ; {2x+1,\ \ \ xgeq0 at 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)={|x|cos((1)/(x)),quad x!=00,quad x=0 at x=0