Question 67
Given a real number $a \gt 1$, determine all real numbers $b \ge 1$ such that
$$
\lim_{x \to \infty} \int_{0}^{x} (1 + t^a)^{-b} \, dt = 1.
$$
$$
\lim_{x \to \infty} \int_{0}^{x} (1 + t^a)^{-b} \, dt = 1.
$$
MathNet 2019-part-05 — 184 problems (EN–VI) Question 67
Math Olympiad Vault · MathNet 2019-part-05 — 184 problems (EN–VI)