  The Dvoretzky-Hanani theorem states that the general term of any perfectly
divergent series in a finite dimensional space does not tend to zero. An
intuitive proof is provided R2 using a construction that allows us to determine
a choice of +/- such that $$a_1 +/- a_2 +/- a_3 +/- a_4... +/- a_n...$$
converges to a point in the space if ||a_i|| goes to 0. Extensions to the
construction are proposed for the general R^n.
