Puzzles\Proof1=0.999...

Proof: 0.999... = 1
$$

\begin{tabular}[t]{lrl} I:       & 10 * 0.999...  & = 9.999... \\ II:       &  1 * 0.999...  & = 0.999... \\ III=I-II: &  9 * 0.999... & = 9 \\ IV=III/9: &  1 * 0.999... & = 1 \\ V:        &      0.999... & = 1 \\ q.e.d.    & \\ \end{tabular} $$

I really like this one.
 * --Heinz.hiekmann (talk) 00:02, 6 January 2013 (CET)