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Topic:
1/3/2018 : If you claim 0.999... is a rational number, then you must find p/q such that 0.999... = p/q.
Replies:
2
Last Post:
Jan 4, 2018 4:47 AM




Re: 1/3/2018 : If you claim 0.999... is a rational number, then you must find p/q such that 0.999... = p/q.
Posted:
Jan 4, 2018 2:50 AM


To understand decimals you need to understand that when we write N.abcdefg.... we are refering to a function f:Z x {0,1,2,3,4,5,6,7,8,9}^N > R defined as
f(n,(b_i))=lim(m>oo) n+sum(i<=m) b_i
as such we have 0.111... = lim(n>oo) 1/10^n
and it works as it should. You are just too stupid to understand.
And no, there is not 3 rules, there is just one definition. Learn it.
That is like saying there are 3 cases of second degree equations, but that is because you can technically dividei t up if you only care about real solutions but in reality, there is just one.



