RE: Increased Precision in Plot?

*To*: mathgroup at smc.vnet.net*Subject*: [mg34695] RE: [mg34684] Increased Precision in Plot?*From*: "DrBob" <majort at cox-internet.com>*Date*: Sat, 1 Jun 2002 04:29:00 -0400 (EDT)*Reply-to*: <drbob at bigfoot.com>*Sender*: owner-wri-mathgroup at wolfram.com

The results aren't nonsense; the problem is. You're wandering into "chaos" country. Bobby Treat -----Original Message----- From: Selwyn Hollis [mailto:shollis at armstrong.edu] To: mathgroup at smc.vnet.net Subject: [mg34695] [mg34684] Increased Precision in Plot? The command f[t_]=Nest[1 - Integrate[2s(#/.t->s),{s, 0, t}]&, Cos[t], 12]//Simplify returns a fairly innocent-looking result. However, evaluation (or plotting) of the result with default precision produces garbage; for example: In[1]:= f[.5] Out[1]:= 0.875 In[2]:= N[f[1/2]] Out[2]:= 0.625 In[3]:= N[f[1/2],17] Out[3]:= 0.77880078307140487 My question is this: How can I get Plot to graph such a function with increased precision, so that the graph isn't overwhelmed by noise? Thanks in advance, Selwyn Hollis