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Let \( \alpha \) (a) and \( \beta \) (a) be the roots of the equation \( (\sqrt[3]{1+a}-1) x^{2}+(\sqrt{1+a}-1) x+(\sqrt[6]{1+a}-1)=0 \)
\( \mathrm{P} \) where \( a-1 \). Then \( \lim _{a \rightarrow 0^{+}} \alpha(a) \) and \( \lim _{a \rightarrow 0^{+}} \beta(a) \) are

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(A) \( -\frac{5}{2} \) and 1
(B) \( -\frac{1}{2} \) and \( -1 \)
(C) \( -\frac{7}{2} \) and 2
(D) \( -\frac{9}{2} \) and 3
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