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.