HMMT 2008 K4

Let $a, b$ be constants such that $\lim _{x \rightarrow 1} \frac{(\ln (2-x))^{2}}{x^{2}+a x+b}=1$ . Determine the pair $(a, b)$ .

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

(-2,1)

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.