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+--- Thread: Fun with infinity (/showthread.php?tid=9175)
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Fun with infinity - GummyBear - 2009-03-14
aye, so 0.99999999999999999 was a bad example. Try 1/x as x -> infinity then. That's a converging limit.
Fun with infinity - shouri - 2009-03-15
Yes while the above statement is occassionally useful, it has nothing to do with the infinity I originally talked about.
Fun with infinity - Stereo - 2009-03-21
Devil's Sunrise Wrote:It doesn't converge to 1, it is 1, ryt? Sadly, infinity is a badass thing which is hard to understand sometimes.
It is a convergence if you take it as the limit of a sum... that is
sum (n = 0 to infinity) 0.1^n * 0.9
ie. 0.9+0.09+0.009+0.0009+...
or 0.9, 0.99, 0.999, 0.9999, 0.99999 etc. as n = 1,2,3,4,5,...
Of course using the simple rule of a/(1-r) where a is the first value and r is the geometric ratio, you see 0.9/(1-.1) = 1