Least value

Algebra Level 4

\(x_{1} , x_{2} , ...................................... ,x_{n}\) are positive numbers such that

\(x_{1} + x_{2} + ...................................... + x_{n} = \frac{1}{2}\)

then the least value of

\(\displaystyle \prod_{i=1}^{i} \frac{1 - x_{i}}{1 + x_{i}} = \frac{a}{b}\)

a + b =

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