Solution of the 2nd Homework
نویسنده
چکیده
First, we introduce some additional notation for the sake of better understanding. In the lecture, we identified the subset of R consisting of constant sequences of rationals with the field of rationals Q via the correspondence Q→ R : r 7→ LIMn→∞ (r,r,r, · · · ) (1) For beginners, however, this identification may come to a source of confusion unless they develop mathematical maturity to some extent. So wherever confusion is likely to arise, we will explicitly use LIMn→∞ notation.
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