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)={(sin2x)/x ,ifx<0,x+2,ifxgeq0

Discuss the continuity of the function f(x)={(sin2x)/x ,ifx<0x+2,ifxgeq0

Discuss the continuity of the function f(x)={{:(2x -1 "," x lt 1),(3x-2"," x ge 1):}

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 .

Discuss the continuity of the function f(x)={x ,\ \ \ x >0 ,\ \ \ 1, x=0 ,-x ,\ \ \ x<0 at the point x=0 .

Discuss the continuity of the function f(x)=x, \if \x >0, f(x)= 1,\if \x=0, f(x)= -x,\ \ \x<0 at the point x=0

Discuss the continuity of the function f(x) = |x -1| at x=1

Discuss the continuity of the function f given by f(x)={(x , ifxgeq0), (x^2, ifx<0 )

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

Discuss the continuity of the function f(x) ={:{((1+cos x)/(tan^2 x) ", "x ne pi),((1)/(2) ", " x=pi):}, at x=pi .