Wb/yue/0.999.../用「乘10」證明

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證明

設 $x = 0.999 . . .$

之後就可以計：

\begin{matrix} x & = 0.999 . . . \\ 10 x & = 9.999 . . . \\ 10 x - x & = 9.999 . . . - 0.999 . . . \\ 9 x & = 9 \\ x & = 1 \end{matrix}

得證 $0.999 . . . = 1$

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