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Re: serie


Hi,

In[]:=Sum[1/(i^2 + 1), {i, 1, k}] // FullSimplify

Out[]=(-1 + Pi*Coth[Pi] - I*HarmonicNumber[-I + k] + 
  I*HarmonicNumber[I + k])/2


Ahmet Mutlu wrote:
> 
> hi
> what is the sum
> 
> for i:=1 to k
>     total = total + 1/(i^2 + 1)
> 
> i mean, a formal sum.


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