  Limit can be defined by two axioms: 1. Strict inequality between limits
implies, ultimately, strict inequality between functions. 2. For constant
functions limit is trivial.
  How can basic results on convergence be derived from these axioms? In this
paper we propose two answers: a) at the most elementary level- add two more
axioms, b) at somewhat higher level, do it in three steps, and, in our
forthcoming paper "Axiomatic definition of limit", a third answer- c) do it
neater - in an abstract framework, where only order relations are present.
