The quick and dirty proof (not formal proof) for 1 = .9999...

1/3 = .333333...
2/3 = .666666...
3/3 = .999999...

Think of 3/3 as 1/3 (that is .33333...) times 3.

-Terrance Davis
www.terrancedavis.com



Felix H. Dahlke wrote:
On 13/10/10 22:28, David Sletten wrote:
On Oct 12, 2010, at 5:44 PM, Brian Hurt wrote:

For example, in base 10, 1/3 * 3 = 0.99999...
It may seem counterintuitive, but that statement is perfectly true.
1 = 0.9999...

That's a good test of how well you understand infinity.

I'm clearly not a mathematician, but doesn't 0.99999... asymptotically
approach 1, i.e. never reaching it? How is that the same as 1?


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