Mathematics - Application of Derivative Question with Solution | TestHub

Let$f\left(x\right)=5-|x-2|$and$g\left(x\right)=\left|x+1\right|,$$x\in R.$If$f\left(x\right)$attains maximum value at$\alpha$and$g\left(x\right)$attains minimum value at$\beta ,$then$\underset{x\to -\alpha \beta }{\mathrm{l}\mathrm{i}\mathrm{m}}\frac{\left(x-1\right)\left(x^2-5x+6\right)}{x^2-6x+8}$is equal to