Quote:
Originally Posted by krystar
it's infinite repeating decimal.....no finite number of 9's will equal 1. only infinite 9's will equal 1.
otherwise written as:
sigma(9/10+9/10^2+9/10^3+...+9/10^n) approaches 1 as n approaches infinity
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Well sure, pull a limit function out in a polite conversation....
Ok then, if it's a limit then graphically, what we're talking about is a linear asymptotic function where the line you are approaching is "1", right? But by definition, your curve can never touch the line, thus you just proved that 0.9 repeating can never equal 1.