Somme de fractions


  • Math&Maroc

    Bonjour,

    Montrer que pour tout nNn\in {\mathbb N}^*, il existe des entiers naturels distincts x1,x2,,xnx_1,x_2,\cdots,x_n tels que :

    1x1+1x2++1xn=12018.\dfrac{1}{x_1}+\dfrac{1}{x_2}+\cdots+\dfrac{1}{x_n}=\dfrac{1}{2018}.

    MA


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