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$(a_{1}^{2}+1)(a_{2}^{2}+1)...(a_{n}^{2}+1)\geq (\frac{n^{2}+1}{n^{2}})^{n}$


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NTMFlashNo1

NTMFlashNo1

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Cho $a_{1},a_{2},a_{3},...,a_{n}\geq 0$ sao cho $a_{1}+a_{2}+a_{3}+...+a_{n}=1$.
Chứng minh:
$(a_{1}^{2}+1)(a_{2}^{2}+1)...(a_{n}^{2}+1)\geq (\frac{n^{2}+1}{n^{2}})^{n}$

$\boxed{\text{Nguyễn Trực-TT-Kim Bài secondary school}}$





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