I don't get what the author is trying to do here. I mean he complains that talking about the limit of a sequence is too asbstract and unfamiliar to most people so the explaination is not satisfaying. But then names drop the notion of an Archimedean group and introduces with a big ol' handwave the hyperreals to solve this very straightforward highschool math problem…Now don't get me wrong, it is nice and good to have blogs presenting these math ideas in a easy if not rigorous way by attaching them to known concept. Maybe that was the real intend here, the 0.99… = 1 "controversy" is just bait, and I am too out of the loop to get the new meta.
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