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6. Define S={q∈Q:−√3< q <√3}, where Q denotes the rational numbers. Prove that S can not...

6. Define S={q∈Q:−√3< q <√3}, where Q denotes the rational numbers. Prove that S can not be the set of subsequential limits of any sequence (sn) of reals.

Please be very verbose. I already have the answer to this question as a contradiction. It is okay if you use a contradiction, however please explain thoroughly.

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