
theorem
  for c being Real, s,s1 being Real_Sequence st s is convergent & s1 is
convergent for r be Real_Sequence st (for i be Nat holds r.i = (s.i-
c)*(s.i-c)+s1.i) holds r is convergent & lim r = (lim s-c)*(lim s-c)+lim s1 by
