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A sequence \((u_n)\) converges to a real number \(\ell\) if:
Every open interval containing \(\ell\) contains all the terms of the sequence from a certain index onwards.
The terms \(u_n\) are always smaller than \(\ell\).
The terms \(u_n\) are always greater than \(\ell\).
There is at least one term of the sequence equal to \(\ell\).
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