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Math and science::Analysis::Tao::06. Limits of sequences

Formal limits are genuine limits

Suppose that \( (a_n)_{n=1}^{\infty} \) is a [...] of rational numbers (defined for reals). Then \( (a_n)_{n=1}^{\infty} \) converges to \( LIM_{n\to\infty}a_n \), i.e.


\[ \lim_{n\to\infty}a_n = LIM_{n\to\infty}a_n \]