If \( \alpha \) and \( \beta \) are roots of \( x^{2}+\sqrt{1-\cos 2 \theta} x+\theta=0 \) where...

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If \( \alpha \) and \( \beta \) are roots of \( x^{2}+\sqrt{1-\cos 2 \theta} x+\theta=0 \) where \( 0\theta\frac{\pi}{2} \), then \( \lim _{\theta \rightarrow 0^{+}}\left(\frac{1}{\alpha}+\frac{1}{\beta}\right)=\ldots \ldots \ldots \).
(a) \( \frac{1}{\sqrt{2}} \)
(b) \( -\sqrt{2} \)
(c) \( \sqrt{2} \)
(d) Does not exist
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