If $\lim _{x \rightarrow 1} \frac{x^2-a x+b}{(x-1)}=5$, then $(a+b)$ is equal to
- $-3$
- $-4$
- $7$
- $-7$
Solution
Applying $\Rightarrow a=-3$ Hospital's rule
$\begin{aligned} & \Rightarrow 2 \times 1-a=5 \\ & \Rightarrow a=-3\end{aligned}$
from (1) $b=-4$
$\Rightarrow a+b=-7$Asked in: MHT CET 2022 (06 Aug Shift 2)