f(x)={[(e^((1)/(x))-1)/(e^((1)/(x))+1)," if "x!=0],[0," if "x=0]quad " at "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

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

Examine the continuity of the following function at the indicated pionts. f(x)={{:(,(e^(1/x)-1)/(e^(1/x)+1), x ne 0),(,0, x =0):}" at x=0"

Discuss the continuity of f ( x ) = (e^(1)/(x)-1)/(e^(1)/(x)+1), x ne 0 and f(0) = 0 at x=0

Evaluate lim_(x rarr0)(e^((1)/(x))-1)/(e^((1)/(x))+1),x!=0

Show that, f(x)= {((e^((1)/(x))-1)/(e^((1)/(x))+1)",",x ne 0),(0",",x=0):} . Is discontinuous at x= 0

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

If f(x)={(e^((1)/(x))/(1+e^((1)/(x)))",", x ne0),(0",",x=0):} , then