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577

Part of 2010 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 577

Source: 1987 Chiba University entrance exam/Mathematics

3/5/2010
Prove the following inequality for any integer N≥4 N\geq 4. \sum_{p\equal{}4}^N \frac{p^2\plus{}2}{(p\minus{}2)^4}<5
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