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.
$\lim_{n\to\infty}a_n = LIM_{n\to\infty}a_n$