MathDB
IMC 1994 D2 P6

Source:

March 6, 2017
IMCreal analysislimitcollege contests

Problem Statement

Find lim⁡N→∞ln⁡2NN∑k=2N−21ln⁡k⋅ln⁡(N−k)\lim_{N\to\infty}\frac{\ln^2 N}{N} \sum_{k=2}^{N-2} \frac{1}{\ln k \cdot \ln (N-k)}
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