       Re: Maximize returning approximate values

• To: mathgroup at smc.vnet.net
• Subject: [mg101333] Re: Maximize returning approximate values
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Wed, 1 Jul 2009 06:36:54 -0400 (EDT)
• Organization: Uni Leipzig
• References: <h2cps7\$ah5\$1@smc.vnet.net>

```Hi,

NMaximize[n/n!, n]

gives

{1.12917, {n -> 1.46163}}

and

FindMaximum[n/n!, n]

gives

{1.12917, {n -> 1.46163}}

Regards
Jens

Nacho wrote:
> 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:= Maximize[n/n!, n]
> Out= Maximize[n/n!, n]
>
> But a Plot shows that the maximum is around 1.5, so I tried:
>
> In:= Maximize[{n/n!, 0 <= n <= 3}, n]
> During evaluation of In:= Maximize::nint: Warning: Maximize used
> numeric integration to show that the result is a global maximum. >>
> Out= {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.
>

```

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