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 $L I M_{n \to \infty} a_{n}$ , i.e.

lim_{n \to \infty} a_{n} = L I M_{n \to \infty} a_{n}

06.09.2019