Today's calculation of Integral 216
Source: Aoyama Gakuin University entrance exam /Science and Technology 2007
August 28, 2007
calculusintegrationlogarithmslimitfunctioncalculus computations
Problem Statement
Let is a positive number such that \int_{0}^{a_{n}}\frac{e^{x}\minus{}1}{1\plus{}e^{x}}\ dx \equal{}\ln n.
Find \lim_{n\to\infty}(a_{n}\minus{}\ln n).