[" Is "f(x)=(1+x)^((1)/(x))" ,when "x!=0],[qquad =e,quad " when "quad =-10]

Is f(x)=(1+x)^((1)/(x)), when x!=0=e, when x=0 continuous at x=0?

Test the continuity of the function f (x) : f(x)={{:(x^(2)sin.(1)/(x),"when " xne0),(0,"when " x=0):}

If f(x)={((log(1+x)-log(1-x))/(x)"," , "when " x ne 0),(3"," , "when " x = 0):} is

If f(x)=(e^((1)/(x))-1)/(1+e^((1)/(x))) when x!=0=0, when x=0 show that f(x) 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

If f(x)={((1)/(e^(1/x)+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

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 .

Test the continuity of the function _(1)f(x)atx=0, where f(x)=(e^((1)/(x)))/(1+e^((1)/(x))), when x!=0=0, where 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 .