Is 0.999999... is equivalent to 1?
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Yes, at any given stop, at any given stage of the expansion, for any given finite number of 9s, there will be a difference between 0.999... ... That is, if you do the subtraction, 1 – 0.999... 9 will not equal zero. But the point of the "dot, dot, dot" is that there is no end; 0.9999... is inifinte.
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no, not at all, never ever
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