Solution (source code)

= Solution
{c}

A <series> $\sum_{n=1}^{\infty}a_n$ \b[converges] if its <partial sums> $s_N=\sum_{n=1}^{N}a_n$ have a finite <limit of a sequence> $S$ as $N\to\infty$; its sum is then $S$. It has \b[<absolute convergence>] if the <series> $\sum_{n=1}^{\infty}|a_n|$ converges, where $|a_n|$ is the <absolute value> of the term.