ENOUGH! (was: "Re: [OT]: Brain Burp Rounding??")
wouter van ooijen & floortje hanneman email (remove spam text)
> > The value of 0.99(inf..) is less than 1.0 y an infinitely small (but
> > non-zero) amount.
> 11Q: Why is 0.9999... = 1?
Mathematically speaking the propositions "The value of 0.99... is less than
1.0 by an infinitely small amount" and "0.99... = 1" are the same! Maybe
that helps to understand a counter-intuitive fact... Infinitely small must
be interstand as "when I name an amount, *any amount at all*, the infinitely
small number is still smaller". Think of infinitely small as a very verbose
(but very usefull) way of specifying zero. In fact it is this way of
thinking about zero (or equality) that makes calculus possible.
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