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

Show that the funcation f(x)={{:(3x-2",", " when ", x le0),(x+1",", " when ", x gt 0):} is discontinuous at x =0

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

f(x)={{:(cosx",","when",x ge0, ),(-cosx",", "when", x lt0):} 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)={{:((e^(1//x)-1)/(e^(1//x)+1)", when "x!=0),(0", when "x=0):} is discontinuous at x=0 .

Draw the graph of the signum function f(x)={{:(|x|/x, " when ", x ne0),(0," when ", x=0):}

f(x)={{:(-x",","when",x lt0, ),(1",", "when", x =0),(x",","when",xgt0):} is discontinuous at x = 0

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

Show that the function f(x)={{:(x"cos"(1)/(x),"when"xne0),(0,"when"x=0):} is continuous at x=0.

Show that the function f(x) ={:{((sin 3x)/(x)", "x ne 0),(1", " x= 0):}, is discontinuous at x=0.