If \( f(x)=\frac{2-\sqrt{x+4}}{\sin 2 x},(x \neq 0) \), is continuo...

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If \( f(x)=\frac{2-\sqrt{x+4}}{\sin 2 x},(x \neq 0) \), is continuous function at \( x=0 \), then \( f(0) \) equals
P
(1) \( \frac{1}{4} \)
(2) \( -\frac{1}{4} \)
(3) \( \frac{1}{8} \)
(4) \( -\frac{1}{8} \)
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