I want to know Which one is bigger ? $ 2011! \text{ or } 1006^{2011} $. Any proof with logic is most appreciable.
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3See question http://math.stackexchange.com/questions/523529 about proving that $n!≤ \left(\frac{n+1}2\right)^n$ by induction. – Smylic Oct 25 '13 at 06:22
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Got it . Thanks – Way to infinity Oct 25 '13 at 06:24
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3Proofs without logic are hardly ever appreciable. – Marc van Leeuwen Oct 25 '13 at 06:42
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Why is the canonical answer of this duplicate itself a duplicate? – jwg Nov 02 '15 at 16:24