MathDB
2023 Integration Bee Problem 12

Source:

March 25, 2023
calculusintegrationintegration bee

Problem Statement

lim⁡n→∞n2∫01xne−xlog⁡(x) dx\lim_{n\to\infty} n^2 \int_0^1 x^n e^{-x}\log(x)\,\mathrm dx
Proposed by Connor Gordon and Vlad Oleksenko
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