Discuss the continuity of `f(x)={2x-1,\ \ \ x<0 2x+1,\ \ \ xgeq0` at `x=0`

Discuss the continuity of f(x) =[x]

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

Discuss the continuity of f(x)={{:(2x=-1,if x le1),(x^(2),if 1 lt x lt 2),(3x-4,if 2lt x lt 4),(x^(3/2),if x ge4):} on R

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

Discuss the continuity of f(x) = tan^(-1)x

Discuss the continuity of f(x)=[tan^(-1)x]

Discuss the continuity of f(x) = tan^(-1)x

Discuss the continuity of f(x) = {(x+2, x le 1),(x-2, x gt1):} at x=1.

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