Monday, September 26, 2011

1 = 0.999...

Just a simple proof. For reference, 0.999... represents 0.999 repeating, non-terminating.

Proof:

x = 0.999...

10x = 9.999...

10x - x = 9.999... - x

9x = 9

x = 1

Therefore:

0.999... = 1

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