Let $f(x) = \left\{ \begin{array}{l l} \frac{1-\cos 4x}{x^2}, & \quad x < 0 \\ a, & \quad x = 0 \\ \frac{\sqrt x)}{(\sqrt {16+\sqrt x})-4} & \quad x < 0 \end{array} \right.$ Find $a$ if $f$ is continuous at $x=0$

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