 reserve n,s for Nat;

theorem Th87:
  SumsReciTriang is convergent & lim SumsReciTriang = 2
  proof
A1: seq_const 2 is convergent & lim seq_const 2 = 2;
A2:geo-seq (2,1) is convergent by Th85;
A3:lim geo-seq (2,1) = 0 by Th85;
A4: lim - geo-seq (2,1) = - (lim geo-seq(2,1)) by SEQ_2:10,Th85
      .= 0 by A3;
    lim SumsReciTriang = 2 + 0 by SEQ_2:6,A1,A2,Th86,A4;
    hence thesis by Th86,A2;
  end;
