If $\lim _{x \rightarrow 1} \frac{x^{2}-a x+b}{x-1}=5$, then $a+b$ is equal to :-
$-7$
$-4$
5
1
Correct Option: 1
$\lim _{x \rightarrow 1} \frac{x^{2}-a x+b}{x-1}=5$
$1-a+b=0$ .............(i)
$2-a=5$ ..............(ii)
$\Rightarrow a+b=-7$
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