幂级数在无理数证明中的应用

The Application of Power Series to Prove the Irrational Number

根据sinx的幂级数展开式和莱布尼茨定理，利用反证法证明了当n为非零整数时，sin（1／n）为无理数。

This article,according to the power series expansion and the Leibniz theorem, had proven, using the reduction to absurdity, when n is the non - vanishing integer, sin（1/n） is an irrational ntanber.