On Jan 4, 10:20 pm, Virgil <vir...@ligriv.com> wrote: > In article > <7850ae29-08d9-49ef-8c7b-e8979e037...@m4g2000pbd.googlegroups.com>, > "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote: > > > Consider the function that is the limit of functions f(n,d) = n/d, n = > > 0, ..., d; n, d E N. > > You mean the zero function? > > For every n, the limit of f(n,d) as d -> oo is 0, so your limit function > would have to be the zero function: f(n,oo) = 0 for all n. > --
No, none of those is the zero function, and each d->oo has it so that d/d = 1.
Here the range of the elements are defined by their constant monotone difference, the sum of which, is one.
This is a way to define real numbers, between zero and one, as: between zero and one.
Simply enough divide how many integers you can count by how many there are, it ranges from zero to one.