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Putnam 1981 A3

Source: Putnam 1981

March 31, 2022
PutnamlimitDouble integral

Problem Statement

Find lim⁡t→∞e−t∫0t∫0tex−eyx−y dx dy, \lim_{t\to \infty} e^{-t} \int_{0}^{t} \int_{0}^{t} \frac{e^x -e^y }{x-y} \,dx\,dy, or show that the limit does not exist.
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