tangent sum

**putnam120** · November 18th 2006, 09:24 PM

Evaluate $\sum_{n=0}^{\infty}\cot^{-1}(n^2+n+1)$

and this one is similar.

Evaluate $\sum_{n=0}^{\infty}\tan^{-1}\left(\frac{1}{n^2+n+1}\right)$

**CaptainBlack** · November 19th 2006, 12:50 AM

Originally Posted by putnam120

Evaluate $\sum_{n=0}^{\infty}\cot^{-1}(n^2+n+1)$

and this one is similar.

Evaluate $\sum_{n=0}^{\infty}\tan^{-1}\left(\frac{1}{n^2+n+1}\right)$

I presume that these are not problems that you do not know the answer to.
If this is the case please put them in the "Maths Games and Puzzles" forum
where we will talk about them at our leisure rather than reduce the time
we spend helping people with problems that they can't do.

Thank you

RonL

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