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Comment by HourglassFR

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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