" 15.If "f(x)={[(x)/(e^(ux)+1)," when "x!=0],[0," when "x=0]," then "

If f(x)={((x)/(e^(1/x)+1),",","when" x != 0),(0,",","when"x = 0):} , then

If f(x) ={(e^(1/x),",","when"x != 0),(1,",","when"x = 0):} , then

If f(x) ={(e^(1/x),",","when"x != 0),(1,",","when"x = 0):} , then

If f(x)={((1)/(e^(1/x)+1),",","when" x != 0),(0,",","when"x = 0):} , then

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 .

If f(x)={(x"sin"(1)/(x),"when "x ne 0),(0,"when "x =0):} then at x = 0, the function f(x) is -

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

If f(x)={{:((|sinx|)/(x),"when "xne0),(1,"when "x=0):} then examine the continuity of the function at x = 0.

If f(x) ={((x-|x|)/x,",","when"x != 0),(2,",","when"x = 0):} , then