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

```

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