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

and this one is similar.

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

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- Nov 18th 2006, 09:24 PMputnam120tangent sum
Evaluate $\displaystyle \sum_{n=0}^{\infty}\cot^{-1}(n^2+n+1)$

and this one is similar.

Evaluate $\displaystyle \sum_{n=0}^{\infty}\tan^{-1}\left(\frac{1}{n^2+n+1}\right)$ - Nov 19th 2006, 12:50 AMCaptainBlack
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