Math is a big interest for me. I This blog will contain proof of interesting mathematics problems which covers Geometry, Algebra, Number theory and Combinatorics with various solution and generalizations.And I will try to make each post enjoyable to read and useful to the reader.
(By my bad English writing, some problem may be post in Chinese.)
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Wednesday, September 18, 2013
\sqrt[n]{n}
Let $n$ be an positive integer, prove that \[\sqrt{n}\leqslant\sqrt[n]{n!}\leqslant\frac{n+1}{2}\]
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