0.999… is the same as 1. Not just very close, but precisely identical:
a = 0.999…
10a = 9.999…
10a - a = 9.999… - 0.999…
9a = 9
a = 1
There's no trick here. It's just a mathematical fact that most people find deeply counterintuitive.
Thursday, July 19, 2007
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