If \( \alpha \) and \( \beta \) are the roots of the equation \( a x^{2}+b x+c=0 \), then \( \li....

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If \( \alpha \) and \( \beta \) are the roots of the equation
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\( a x^{2}+b x+c=0 \), then \( \lim _{x \rightarrow \alpha}\left(1+a x^{2}+b x+c\right)^{1 / x-\alpha} \), is
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(1) \( e^{a(\alpha-\beta)} \)
(2) \( e^{a(\beta-\alpha)} \)
(3) 1
(4) none of these


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