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$\sum \frac{1}{a^2+2b^2+3}\leq \frac{1}{2}$


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#1
VuQuyDat

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Cho a,b,c>0 , abc=1

CMR:

 

$\sum \frac{1}{a^2+2b^2+3}\leq \frac{1}{2}$



#2
Khoa Linh

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$\sum \frac{1}{a^2+2b^2+3}=\sum \frac{1}{(a^2+b^2)+(b^2+1)+2}\leq\frac{1}{2} \sum \frac{1}{ab+b+1}=\frac{1}{2}$


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