Discuss the continuity of the function `f(x)` at `x=1//2` , where `f(x)={1//2-x ;\ \ \ \ 0lt=x<1//2 1;\ \ \ \ \ \ \ \ \ x=1//2 3//2-x ;\ \ \ \ 1//2

Discuss the continuity of the function f(x)=x^3+x^2-1

Discuss the continuity of the function f(x) at x = 1/2 where f(x) = {{:(1/2 + x"," , x le x lt 1/2),(1",", x = 1/2),(3/2 + x,1/2 lt x lt 1):}

Discuss the continuity of the function defined by f(x)={x+2, if x 0

Discuss the continuity of the function defined by f(x)={x+2, if x 0

Discuss the continuity of the function f(x), where f(x)= {:{(2-x, x < 0),(2+x,xge0):} , at x = 2,0 and -2.

Discuss the continuity of the function f(x) at x= (1)/(2) , when f(x) is defined as follows : f(x)={{:((1)/(2)+x,0 le x lt (1)/(2)),(1, x= (1)/(2)),((3)/(2)-x, (1)/(2) lt le 1):} .

Discuss the continuity of the function f(x) given by f(x)={2x-1,quad if x =0

Discuss the continuity of the function f, where f is defined by: f(x)={(2x,,,,if x 1):}

Discuss the continuity of the function f(x)={x , 0lt=x<1//2 12 , x=1//2 1-x , 1//2