Re: MaxValue

*To*: mathgroup at smc.vnet.net*Subject*: [mg99099] Re: MaxValue*From*: BG <galt32 at gmail.com>*Date*: Mon, 27 Apr 2009 01:15:09 -0400 (EDT)*References*: <gt0s37$edh$1@smc.vnet.net>

On Apr 26, 8:39 am, BG <gal... at gmail.com> wrote: > Suppose I want to find supremum of {(-1)^n: n is natural}, MaxValue > just returns the question itself. > [..] But something with NMinimize is not clicking for me: In[70]:= f[n_] := (-1)^n + (n + 1)/n; In[71]:= NMinimize[{f[n], Element[n, Integers] && n > 0}, n] Out[71]= {0.333333, {n -> 3}} In[72]:= f[999] Out[72]= 1/999 I tried playing with NMinimzie parameters, namely Method and MaxIterations(default is 100) and the various Precision's with no success; going the MaxValue way: In[81]:= MaxValue[Cos[Pi*n] + n + 1/n, n] Out[81]= MaxValue[1/n + n + Cos[n \[Pi]], n] I am new to Mathematica, what is the preferred way to get sup/inf of f (N), (where f is the func above )?