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Soient \(n\in \Nn^{*},\) et \((x_{1},x_{2},...,x_{n})\in [0,1]^{n}\), montrer que : \[\prod\limits_{i=1}^{n}(1-x_{i})\geq 1-\sum\limits_{i=1}^{n}x_{i}.\]
Soient \(n\in \Nn^{*},\) et \((x_{1},x_{2},...,x_{n})\in [0,1]^{n}\), montrer que : \[\prod\limits_{i=1}^{n}(1-x_{i})\geq 1-\sum\limits_{i=1}^{n}x_{i}.\]