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Post by BlueDolphin on Nov 8, 2006 22:18:16 GMT -5
I got this from another forum. It was interesting how much debate was over it despite the proofs that already exist.
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Post by Evilduck on Nov 9, 2006 0:25:01 GMT -5
.9999... to infinity is 1. Infinity is a funny concept; it is difficult to wrap my mind around it.
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Post by Arachis on Nov 9, 2006 19:25:03 GMT -5
everyone _learns this in math by the time they take algebra. A slightly trickier question would be what is 0.901
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Post by Little Miss Odd on Nov 9, 2006 23:28:33 GMT -5
Hey, a sequence!!
0.9999... is the nth term in the sequence an = {n number of 9s/ 10n}
It's a strictly monotone increasing sequence, bounded above by any number greater than 1. As n goes to infinity, an converges to 1.
Yay Cauchy Sequences!
Now why am I not getting an A in Sequences and Series again?
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Post by Archagon on Nov 9, 2006 23:31:33 GMT -5
A slightly trickier question would be what is 0.901 ... 0.901=0.901, Ali.
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Post by Little Miss Odd on Nov 9, 2006 23:34:18 GMT -5
A slightly trickier question would be what is 0.901 ... 0.901=0.901, Ali. I think he meant what is 0.999...99901 his recurring sign wasn't attached properly. I suggest using super glue next time.
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Post by Arachis on Nov 10, 2006 6:37:53 GMT -5
damn proboards and its variable width. At my screen resolution it clearly reads ..._ 0.901
(hopefully that should work on everyones screen, though it might look a little wierd if you have the contrast turned up)
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Post by Evilduck on Nov 10, 2006 14:02:54 GMT -5
That would be 1.000....001
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Post by Arachis on Nov 10, 2006 15:09:15 GMT -5
actually it would be 1, since there are infinite 9's you can discount anything past the infinity (of course your answer is in a sense also 1, (2 - .9.....) but its simpler to say 1
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