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P1880
mandatory thread
Sun 2022-07-03 21:48:05
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0.999....png
17.7 KiB 619x216
To what extent are the Internet arguments about 0.999... legitimate, and to what extent is it just people being contrarian?
Are you convinced that 0.999... = 1?
P1887
Mon 2022-07-04 00:20:12
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I think there is too much information in the ellipses.
iff 0.999... = 9/9 = 1 then 0.999... = 1.
Referenced by:
P1913
P1913
Mon 2022-07-04 08:09:28
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P1887
otoh
0.999... = 0.9 * 0.1^0 + 0.9 * 0.1^1 + 0.9 * 0.1^2 + ...
Seems true by definition
and
a\sum_0^{\infty}r^n ={ |r|<0, a/(1-r)
so I guess
0.999... = 0.9/0.9 = a/a = 1, a\neq{0}
Challenge:
Render LaTeX fragments (without javashit)? Orgmode does it. I think I just want l+j to be emacs.
Referenced by:
P1915
P11989
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