(************************************************************************)
(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
(************************************************************************)
Local Open Scope R_scope.
(*****************************************************************)
(**           To define transcendental functions                 *)
(**           and exponential function                           *)
(*****************************************************************)

(*********)
Lemma Alembert_exp :
Un_cv (fun n:nat => Rabs (/ INR (fact (S n)) * / / INR (fact n))) 0.