Let \(f: \mathrm{R} \rightarrow \mathrm{R}\) be a function given by
\(f(x)=\left\{\begin{array}{cl}
\frac{1-\cos 2 x}{x^{2}} & , x<0 \\
\alpha & , x=0, \text { where } \alpha, \beta \in R. \\
\frac{\beta \sqrt{1-\cos x}}{x} & , x>0
\end{array}\right.\)
If \(f\) is continuous at \(\mathrm{x}=0\), then \(\alpha^{2}+\beta^{2}\) is equal to :
(1) 48
(2) 12
(3) 3
(4) 6