Re: Summation problem
- To: mathgroup at smc.vnet.net
- Subject: [mg56663] Re: Summation problem
- From: Marcus Stollsteimer <marcus314 at yahoo.com>
- Date: Tue, 3 May 2005 05:26:15 -0400 (EDT)
- Organization: Comp.Center (RUS), U of Stuttgart, FRG
- References: <d4v6br$nq9$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
jaropis wrote:
> Why can't Mathematica sum:
> Sum[I^n/n,{n,1,Infinity}]
> and gives the (incorrect) answer, that this is divergent while it
> can do: Sum[I^(n+1)/n,{n,1,Infinity}]
> correctly?
seems to be a new feature in 5.1 ...
In[1]:= Sum[I^n/n, {n, 1, Infinity}]
Sum::div: Sum does not converge.
Sum::div: Sum does not converge.
n
I
Out[1]= Sum[--, {n, 1, Infinity}]
n
In[2]:= Sum[I^(n + 1)/n, {n, 1, Infinity}]
Out[2]= -I Log[1 - I]
In[3]:= $Version
Out[3]= 5.1 for Linux (October 25, 2004)
Regards,
Marcus
--
What is life but a series of inspired follies? -- George Bernard Shaw