Product and Power Inequality

Show that $2 \cdot 4 \cdot 6 \dots (2 n) < (n + 1)^{n}$ .

~10 minProof · checked by AIInequalitiesArithmetic-Geometric Mean Inequality

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.a, No. 16 (part 2)

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