MathDB

10.2

Part of 2005 All-Russian Olympiad Regional Round

Problems(1)

Inequlity by Khrabrov

Source: All-Russian MO Round 4, 2005

4/2/2005
10.2 Prove for all x>0x>0 and n∈Nn\in\mathbb{N} the following inequality 1+xn+1≥(2x)n(1+x)n−1.1+x^{n+1}\geq \frac{(2x)^n}{(1+x)^{n-1}}. (A. Khrabrov)
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