Today's calculation of Integral 355
Source: 2008 Niigata University entrance exam/Science
July 1, 2008
calculusintegrationlimitlogarithmscalculus computations
Problem Statement
For a positive number , find \lim_{n\to\infty} n^2\int_{e^{\minus{}\frac{1}{n}}}^1 x^n \ln x\ dx.