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355

Part of 2008 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 355

Source: 2008 Niigata University entrance exam/Science

7/1/2008
For a positive number n n, find \lim_{n\to\infty} n^2\int_{e^{\minus{}\frac{1}{n}}}^1 x^n \ln x\ dx.
calculusintegrationlimitlogarithmscalculus computations