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Today's calculation of Integral 117

Source: Yokohama National Uinversity entrance exam/econmoics 1978

July 7, 2006
calculusintegrationlimitcalculus computations

Problem Statement

Let aa be a real constant number. Evaluate lim⁡n→∞n∫−11e−n∣a−x∣ dx.\lim_{n\to\infty}n\int_{-1}^{1}e^{-n|a-x|}\ dx.
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