Question

If $\underset{x\to 1}{\lim }\frac{x^2-ax+b}{x-1}=5$ , then a + b is equal to :-

• A. -7
• B. -4
• C. 5
• D. 1

Answer 1

Answer: (A)

${\lim }_{x\to 1}\frac{x^2-ax+b}{x-1}=5$
$1-a+b=0$ ...(i)
$2-a=5$ ...(ii)
$\Rightarrow a+b=-7$.