Let k be a non-zero real number . If $f(x) = \left\{ \begin{array} {1 1} \large\frac{ (e^x-1)^2 }{\sin(x/k) log(1+x/4)}, & \quad x \neq 0 \\ 12 ,& \quad x=0\\ \end{array} \right.$ is a continuous function, then the value of k is

Question

$\begin{array}{1 1} 1 \\ 2 \\ 3 \\ 4 \end{array}$