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

Test the continuity of f(x) at x=0 where f(x)=(1)/(1+2^((1)/(tau))) when x!=0;f(x)=1 when x=0

test the continuity of function at x=0f(x)={(1)/(1+2^((1)/(x))), when x!=0,1 when x=0}

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

Examine the continuity of the function f(x) = {((e^((1)/(x)))/(1 + e^((1)/(x)))",","if " x ne 0),(0",","if" x = 0):} at x= 0

Test for continuity of the following function at x=a:f(x)={(x- a) sin((1)/(x-a), where x!=a(x-a)0, when x=a

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 .