Cho $3<n\in \mathbb{Z}$. Chứng minh rằng:
$$\sqrt{C^1_n}+\sqrt[2]{2C^1_n}+\sqrt[3]{3C^1_n}+...+\sqrt[n]{nC^1_n}<n(n+1)2^{\frac{n-3}{2}}$$
Cho $3<n\in \mathbb{Z}$. Chứng minh rằng:
$$\sqrt{C^1_n}+\sqrt[2]{2C^1_n}+\sqrt[3]{3C^1_n}+...+\sqrt[n]{nC^1_n}<n(n+1)2^{\frac{n-3}{2}}$$
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