If \( \alpha, \beta \) are two distinct real roots of the equation \( a x^{3}+x-1-a \) \( =0 \),...

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If \( \alpha, \beta \) are two distinct real roots of the equation \( a x^{3}+x-1-a \) \( =0 \), (where \( a \neq-1,0 \) and \( \alpha, \beta \neq 1) \) then \( \lim _{x \rightarrow \frac{1}{\alpha}} \frac{(1+a) x^{3}-x^{2}-a}{\left(e^{1-\alpha x}-1\right)(x-1)} \) is equal to is equal to
(a) \( \alpha^{2}-\beta^{2} \)
(b) \( a(\alpha-\beta) \)
(c) \( (\alpha-\beta) \)
(d) \( \frac{a(\alpha-\beta)}{\alpha} \)
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