(08/27/2009, 04:58 PM)jaydfox Wrote: You can't create a non-constant function which goes to a constant value at infinity without creating a singularity somewhere... Can you? (Not being sarcastic, this is an honest question. As far as I can remember, this is true, but I welcome being shown that I'm mistaken on this point.)
I cant, because of Liouville's theorem: Every bounded entire function is constant.
