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Unread 13-03-2010, 10:10
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AndrewJS AndrewJS is offline
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Re: 2=0

If you are adding like this,
.5 + .5 + .5 + .5 = 2
Etc, then you are really doing a Sigma(2/n) for n times as n approaches infinity. Using the distributive property this sigma expression can be written:
n * (2 / n ) = 2
For all nonzero real numbers, this expression equals 2. At n = 0, there's a hole in the graph, yet its limit is 2.

The key about infinity and zero is that they are not well-defined. It depends HOW you're reaching infinity or zero, not only the fact that you are.
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