If a b c=1 then find the value of \frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}

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If

a b c=1

then find the value of

\;{1}/{1+a+b^{-1}}+\;{1}/{1+b+c^{-1}}+\;{1}/{1+c+a^{-1}}

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