 reserve R for domRing;
 reserve p for odd prime Nat, m for positive Nat;
 reserve g for non zero Polynomial of INT.Ring;
 reserve f for Element of the carrier of Polynom-Ring INT.Ring;
 reserve z0 for non zero Element of F_Real;

theorem Th44:
  (m|^(m+1)) rExpSeq is convergent & lim ((m|^(m+1)) rExpSeq) = 0
   proof
     (m|^(m+1)) rExpSeq is summable by SIN_COS:45;
     hence thesis by SERIES_1:4;
   end;
