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|dw:1356426308338:dw|

\[=\sum\limits_{n=4}^{25}\frac{1}{n^2+1}\]

i think, the problem wants a rational number

if without wolfram ?

im not sure ,

what is the context that the problem came from ?

The real question is if there is a simplification of: \[
\sum \frac{1}{n^2+1}
\]

Like, maybe partial fraction decomposition could help us?

I'm not familiar with this series actually. I'm not sure how to find it's partial sum.

@calculusfunctions
that power series u use is for when \(|x|<1\)