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753

Part of 2011 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 753

Source: 2011 Shibaura Institute of Technology entrance exam

9/13/2011
Find lim⁡n→∞∑k=12nn2n2+3nk+k2.\lim_{n\to\infty} \sum_{k=1}^{2n} \frac{n}{2n^2+3nk+k^2}.
calculusintegrationlimitlogarithmscalculus computations