216

Part of 2007 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 216

Source: Aoyama Gakuin University entrance exam /Science and Technology 2007

a_{n}

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).

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