$\text{ The function }f\left(x\right)=\left\{\begin{array}{cc}\frac{e^{1/x}-1}{e1/x+1},& x\ne 0\text{ is }\\ 0,& x=0\end{array}\right.$

• A

  continuous at x = 0

• B

  discontinuous at x = 0

• C

   discontinuous at  but can be made continuous at x = 0

• D

  none of these.