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Today's calculation of Integral 753

Source: 2011 Shibaura Institute of Technology entrance exam

September 13, 2011
calculusintegrationlimitlogarithmscalculus computations

Problem Statement

Find lim⁡n→∞∑k=12nn2n2+3nk+k2.\lim_{n\to\infty} \sum_{k=1}^{2n} \frac{n}{2n^2+3nk+k^2}.
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