1.385 looks suspiciously like 2 log 2 = 1.3862... Rich -----Original Message----- From: math-fun-bounces+rschroe=sandia.gov@mailman.xmission.com on behalf of Fred lunnon Sent: Tue 9/12/2006 10:08 AM To: math-fun Subject: Re: [math-fun] mis-defining limits On 9/12/06, Eugene Salamin <gene_salamin@yahoo.com> wrote:
Plot g(1-exp(-x)). For x > 6, the graph becomes periodic.
g(x) ~ 0.5 + 0.027 sin(2 pi (x - 0.526) /1.385).
Gene
I think maybe the above should have read g(1-exp(-x)) = 0.5 + 0.027 sin(2 pi (x - 0.526) /1.385) which does look to be true as x -> 1- with error O(1-x). All that spiel about g(x) converging on the unit circle is codswallop, because the relation g(x) + g(x^2) = x fails to hold in the limit --- nice one! If I'd listened to advice and "used a calulator" in the first place, I might have spared myself a very red face here. WFL _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun