" 8.Show that "f(x)={[(x-|x|)/(2)," when "x!=0],[2," when "x=0]" is discontinuous a "

Show that f(x)={(x-|x|)/(2),quad when x!=02,quad when x=0 is discontinuous at x=0 .

Show that f(x)={(|x-a|)/(x-a),quad when x!=a1,quad when x=a is discontinuous at x=a

Show that the function f(x)={{:(x/|x|",", " when ", x ne0),(1",", " when ", x =0):} is discontinuous at x=0

Show that the function f(x) given by f(x)={((e^(1/x)-1)/(e^(1/x)+1), when x!=0), (0, when x=0):} is discontinuous at x=0 .

Prove that, q(x) = {(|x|/x, when x ne 0),(0, when x = 0):} is discontinuous at x = 0.

Prove that f(x)={((x-|x|)/x, x!=0),( 2 , x=0):} is discontinuous at x=0 .

f(x)={{:(3-x",","when",x le0, ),( x^(2)",", "when",xgt0):} is discontinuous at x=0

Show that the function f(x) given by f(x)={(e^(1/x)-1)/(e^(1/x)+1), when x!=00,quad when x=0 is discontinuous at x=0

Show that the function f(x)={{:((e^(1//x)-1)/(e^(1//x)+1)", when "x!=0),(0", when "x=0):} is discontinuous at x=0 .

Show that the function f(x)={{:(x+(x+2)/(|x+2|),"when " xne-2),(" "-1,"when " x=-2):} is dicontinuous at x=-2 Also find the jump of f (x) at this point of discontinuity.