
Re: Matheology § 295
Posted:
Jun 27, 2013 8:49 PM


On Thursday, June 27, 2013 4:21:09 PM UTC7, Virgil wrote: > In article <18d7cffcceb141dea1749f7e2dee64bc@googlegroups.com>, > > mueckenh@rz.fhaugsburg.de wrote: > > > > > On Thursday, 27 June 2013 02:37:17 UTC+2, Zeit Geist wrote: > > > > On Wednesday, June 26, 2013 8:12:09 AM UTC7, muec...@rz.fhaugsburg.de > > > > wrote: > On Tuesday, 25 June 2013 02:21:13 UTC+2, Zeit Geist wrote: > > > > > > > > Let f:N\{0} U {N} > R, such for all n e N\{0}, f(n) = 1/n, and f(N) = 1. > > > > Now, in the domain of the natural numbers as take as > > > a subdomain of the reals, lim f(x) as x > oo = 0, > > > but f(N) ~= 0. > > Just another example of WM's logical and mathematical incompetence. >
My example was simply to show that g: N\{0} > R, with some limit at infinity, l, can be extended to a function such that f(N) is defined, whereas g(N) is not, and its value a ~= l.
>
ZG

