0.9999999999999 ... = 1?
Jim Hays et. al. reminded me of this old classic from 8th grade math:
Consider \(\dfrac{9}{10}+\dfrac{9}{100}+\dfrac{9}{1000}+\dfrac{9}{10000}+ ...\),
which can also be written as \(0.\overline{9}\) or \(0.999999 ...\).
Is that less than 1, or equal to 1?
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