Question 82
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 $(a, b)$.
$$
\lim_{x \rightarrow 1} \frac{(\ln (2-x))^{2}}{x^{2}+a x+b}=1.
$$
Determine the pair $(a, b)$.
MathNet 2008-part-05 — 164 problems (EN–VI) Question 82
Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)