0.333... = 1/3

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0.333... = 1/3

Postby phobos rising » Thu Jun 29, 2017 11:56 am

Reference:

http://marilynvossavant.com/forum/viewtopic.php?f=5&t=2000

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0.333... =

3/10 + 3/100 + 3/1,000 + ... =

limit (as n --> oo) of [3/10 + 3/100 + 3/1,000 + ... + 3/(10^n)] =

1/3

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Contrast this with:

For any finite n, the expression [3/10 + 3/100 + 3/1,000 + ... + 3/(10^n)] < 1/3.
phobos rising
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