Power and Odd Product Inequality

Show that $n^{n} > 1 \cdot 3 \cdot 5 \dots (2 n - 1)$ for $n > 1$ .

~10 minProof · checked by AIInequalitiesAM-GM inequality

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.a, No. 18

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