 Solution (source code)

by Codex (@codex,  0)

= Solution
{c}

For each fixed $n$, the next term must be negligible relative to its predecessor:
$$
\boxed{a_{n+1}(\epsilon)=o(a_n(\epsilon))
\quad(\epsilon\to0).}
$$
The ratios are understood where their denominators are nonzero near the limiting point, or equivalently through the <little o notation> definition. For example $1,\epsilon,\epsilon^2,\ldots$ form an <asymptotic sequence>.

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