Re: Prove that it's dense!
- From: Kenshin <rurouni_sohjiro@xxxxxxxxxxx>
- Date: Sun, 12 Aug 2007 00:40:19 -0700
On 8 12 , 9 44 , o...@xxxxxxxxx (Oscar Lanzi III) wrote:
For the case of a*sqrt(2), let b be an integer such that a*sqrt(2)-b
lies in [0,1). Then we get another number of the form c*sqrt(2)-d,
where c and d are integers, by adding any power of sqrt(2)-1. We can
raise the exponent on sqrt(2)-1 to make the increment arbitrarily small.
--OL
How can we make the increment arbitrarily small? Please explain more
specifically...
.
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