2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69978Generalizing a result of Pourchet, we prove that, if $α,β$ are power sums satisfying suitable conditions, the length of the continued fraction of the ratio $α(n)/β(n)$ tends to infinity with $n$.8 pages, Plain TexNumber Theorytext