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helenS · 36-40, F
Yes it does, the limit of that series is the real number zero. It's the limit of an interval of ever-decreasing width.
TheOrionbeltseeker · 36-40, M
Tennessee2 · 80-89, F
@helenS Does even my age repeat as a decimal?
What about 0.79797979797979... or 79.00000000000000...
What about 0.79797979797979... or 79.00000000000000...
helenS · 36-40, F
@TheOrionbeltseeker Haha! 😁
helenS · 36-40, F
@Tennessee2 ... same as above; these ever-repeating numbers represent the limit of a series, and that limit is always a well-defined real number.
In fact these series are the core of constructing reals. If you are interested in the theoretical background, google "Dedekind cut".
In fact these series are the core of constructing reals. If you are interested in the theoretical background, google "Dedekind cut".