If the function f(x), defined below is continuous at x = 0, find the value of k: f(x)=1-cos 2x2x2 ; if x<0k ; if x=0xx2; if x>0

If the function f(x), defined below is continuous at x = 0, find the value of k: $f (x) = \{\begin{matrix} \frac{1 - \cos 2 x}{2 x^{2}}; i f x < 0 \\ k; i f x = 0 \\ \frac{x}{|x^{2}|}; i f x > 0 \end{matrix}$

Match the items on the right to the items on the left.