Question:
Let $f(x)=5-|x-2|$ and $g(x)=|x+1|, x \in R$.
If $f(x)$ attains maximum value at $\alpha$ and $g(x)$
attains minimum value at $\beta$, then
$\lim _{x \rightarrow-\alpha \beta} \frac{(x-1)\left(x^{2}-5 x+6\right)}{x^{2}-6 x+8}$ is equal to :
Correct Option: 1
Solution:
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