" Show that "f(x)={[(|x-a|)/(x-a)," when "x!=a],[1" ,when "x=a]" is discontinuous at "x=a

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

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

Show that the function f(x)={{:((|x-a|)/(x-1)", "x!=a),(1", "x=a):} is discontinuous at x=0 .

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

f(x) = (|x-a|)/(x-a) , when x ne a, = 1 , when x = a, then :

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

f(x)={{:((sin3x)/(x)",","when",x ne0 ),( 1",", "when",x=0):} is discontinuous atx =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 .

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.