Maximize returning approximate values
- To: mathgroup at smc.vnet.net
- Subject: [mg101297] Maximize returning approximate values
- From: Nacho <ncc1701zzz at gmail.com>
- Date: Tue, 30 Jun 2009 06:35:17 -0400 (EDT)
Hello.
>From Maximize documentation in V7.0.3:
* Maximize will return exact results if given exact input.
I've tried to maximize n/n! without success:
In[8]:= Maximize[n/n!, n]
Out[8]= Maximize[n/n!, n]
But a Plot shows that the maximum is around 1.5, so I tried:
In[9]:= Maximize[{n/n!, 0 <= n <= 3}, n]
During evaluation of In[9]:= Maximize::nint: Warning: Maximize used
numeric integration to show that the result is a global maximum. >>
Out[9]= {Root[{-#1! + Gamma[1 + #1] PolyGamma[0, 1 + #1] #1 &,
1.46163214496836234126265954233}]/
Root[{-#1! + Gamma[1 + #1] PolyGamma[0, 1 + #1] #1 &,
1.46163214496836234126265954233}]!, {n ->
Root[{-#1! + Gamma[1 + #1] PolyGamma[0, 1 + #1] #1 &,
1.46163214496836234126265954233}]}}
It is partially symbolic, partially numeric.
Is it a bug?
Regards.