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574

Part of 2010 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 574

Source: 2010 Tsukuba University entrance exam/Science, Problem 3

3/2/2010
Let n n be a positive integer. Prove that x^ne^{1\minus{}x}\leq n! for x≥0 x\geq 0,
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