- Dec 30, 2002
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Originally posted by: dighn
to say the 0.9r in 9.9r is different from 0.9r would mean the series 9/10 + 9/100 + 9/1000 ... has a finite length
but the series 9/10 + 9/100 + 9/1000 +9/10000 ... is equivalent to the series 9/10 + 9/100 + 9/1000 ... which is exactly what you get after multiplying 0.9r by 10, after the first term (0.9r * 10 = 9 + 9/10 + 9/100 ...)
I still want to see a rebuttal from the people who say that 10*0.9999..... != 9.9999..... This infinite series makes it quite clear.
Oh, and bump!