Question

Any nerds need a challenge?
\[\mbox{Let}\;S_x:=\sum^\infty_{n=0}\frac{1}{n(n+1)+x}.\]
\[\begin{array}{ll}
\mbox{(a)} & \mbox{Prove that there exists }\;x\in\mathbb{R}\;\;\mbox{such that}\;S_x=2\pi.\\
\mbox{(b)} & \mbox{Find such an}\;x.
\end{array}
\]
The shortest answer is surprisingly simple!

Answer 1

3/16

Answer 2

Yes how did you find it?

Answer 3

*bookmark* No Idea how to solve this :( I will try this later.

Answer 4

Ask if you want a proof of Zarkons answer.

Answer 5

hmm I will try solving and will ask you if i still don't get it :]

Answer 6

There is a straight-forward way of proving (a) without using the answer to (b).

Answer 7

dang i can't read it

Answer 8

What can you not read?

Answer 9

i refreshed and still can't read it

Answer 10

that didn't work

Answer 11

just look at the tex source