Discuss the continuity of `f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)),x!=1,2 6,x=1 12 ,x=2`

Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|),x!=1,2, 6,x=1, 12 ,x=2

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

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

Discuss the continuity of f(x)=(lim)_(n->oo)(x^(2n)-1)/(x^(2n)+1)

Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)| , x!=1,2 & 6, x=1 & 12 , x = 2 then f(x) is continuous on the set (a) R (b) R-{1} (c) R-{2} (d) R-{1,2}

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

Discuss the differentiability of f(x)=||x^2-4|-12|dot

Discuss the extremum of f(x)=x(x^2-4)^(-1/3)

Discuss the continuity of the function f(x)={2x-1 ,ifx<2, (3x)/2 ,ifx geq2 at x=2

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 .