If \( \alpha, \beta \) and \( \gamma \) be three distinct real valu...

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If \( \alpha, \beta \) and \( \gamma \) be three distinct real values such that \( \frac{\sin \alpha+\sin \beta+\sin \gamma}{\sin (\alpha+\beta+\gamma)}= \)
\( \mathrm{P} \) \( \frac{\cos \alpha+\cos \beta+\cos \gamma}{\cos (\alpha+\beta+\gamma)}=2 \) and \( \cos (\alpha+\beta)+\cos (\beta+\gamma)+\cos (\gamma+\alpha)=a \), then find the

W value of \( \lim _{x \rightarrow a} \frac{\sqrt{x^{2}-a^{2}}}{\sqrt{x-a}+\sqrt{x}-\sqrt{a}} \)
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