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Originally Posted by ThePerfectHacker  Did I say it was wrong? I did not read it. The solution I gave was just a different solution.
You should remember the rule that there are sometimes many ways to prove a theorem.*
*)For example, Quadradic Reciprocity, what a beautify law, there are more than 200 ways to prove it!!! |
No, indeed you did not say it was wrong.
I was just interested when you suggested...
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The trick is to think of Cauchy Sequences. That is what Rebesques was suggesting. Doing this the ordinary way, i.e. convergent sequences might be difficult.
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...that proving the proposition without the concept of a Cauchy sequence would be 'difficult'. In my inexperience, this led me to doubt that my (fairly short) argument was valid at all.