MathDB
Today's calculation of Integral 882

Source: 2013 Aichi University of Education entrance exam

June 29, 2013
calculusintegrationlimitlogarithmscalculus computationsRiemann sum

Problem Statement

Find lim⁡n→∞∑k=1n1n+k(ln⁡(n+k)−ln⁡ n)\lim_{n\to\infty} \sum_{k=1}^n \frac{1}{n+k}(\ln (n+k)-\ln\ n).
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