# Cyclic Doesn't Mean Symmetric!

Algebra Level 1

Positive reals $$a,b,c$$ satisfy $$abc=1$$. Find the minimum value of

$\dfrac{1+ab}{1+a}+\dfrac{1+bc}{1+b}+\dfrac{1+ca}{1+c}.$

Enter your answer correct to $$3$$ decimal places.

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