*math

238328 05.08.2011 14:04

Why would you think there is a largest?

Here's a short proof there isn't a largest number less than 1:

Assume that there is a largest number less than 1. Let's represent this number by [tex]\inline{x}[/tex].

Now, consider the number [tex]\inline{y=(1+x)/2}[/tex]

First, notice that ... more →

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