proposition: Lemma cvg_series_bounded (R : realFieldType) (f : R ^nat) : cvgn (series f) -> bounded_fun f.
proof: Proof. by move/cvg_series_cvg_0 => f0; apply/cvg_seq_bounded/cvg_ex; exists 0. Qed.
imports: mathcomp(all_ssreflect ssralg ssrint ssrnum matrix) mathcomp(interval rat) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(set_interval) reals ereal signed topology normedtype landau