An algebra problem by P C

Algebra Level 5

cyca,b,caa2+2\large\displaystyle\sum_{cyc}^{a,b,c}\frac{a}{a^2+2} Let a,b,c>0a,b,c>0 satisfy abc=1abc=1, find the maximum value of the expression above.

Submit your answer to 2 decimal places

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