query: infinite sum of (-1)^n/(x+πn) = csc x
positive_passages.docid: 25967
positive_passages.text: Prove $\csc(x)=\sum_{k=-\infty}^{\infty}\frac{(-1)^k}{x+k\pi}$
negative_passages.docid: 53713
negative_passages.text: Accumulation Points for $S = \{(-1)^n + \frac1n \mid n \in \mathbb{N}\}$
negative_passages.docid: 39659
negative_passages.text: Is there a closed formula for this summation?
negative_passages.docid: 93813
negative_passages.text: How to show that $\sum\limits_{k=0}^n (-1)^k\tfrac{{ {n}\choose{k}}}{{ {x+k}\choose{k}}} = \frac{x}{x+n}$
negative_passages.docid: 104658
negative_passages.text: proving $\csc^2 \left( \frac{\pi}{7}\right)+\csc^2 \left( \frac{2\pi}{7}\right)+\csc^2 \left( \frac{4\pi}{7}\right)=8$
negative_passages.docid: 53658
negative_passages.text: Find the sum series $\sum_{n=1}^{+\infty} \frac{(-1)^{n-1}(2n-1)}{2^{n-1}}$
negative_passages.docid: 4573
negative_passages.text: Explicitly finding the sum of $\arctan(1/(n^2+n+1))$
negative_passages.docid: 7891
negative_passages.text: Sum of nth roots of unity
negative_passages.docid: 52774
negative_passages.text: Computing an infinite sum using the Residue theorem
negative_passages.docid: 153294
negative_passages.text: What is the infinite product of (primes^2+1)/(primes^2-1)?
negative_passages.docid: 55339
negative_passages.text: Find the sum $\sum_{n=1}^{\infty}\frac{ 1}{n^{2}(2n-1)}$
negative_passages.docid: 22657
negative_passages.text: How to find the sum of the infinite series?
negative_passages.docid: 93837
negative_passages.text: How to compute infinite series $\sum_{n=0}^{\infty} ne^{-n}$
negative_passages.docid: 20317
negative_passages.text: Proving $\sum_{k=1}^{n}{(-1)^{k+1} {{n}\choose{k}}\frac{1}{k}=H_n}$
negative_passages.docid: 14223
negative_passages.text: Find the infinite sum $\sum_{n=1}^{\infty}\frac{1}{2^n-1}$
negative_passages.docid: 93372
negative_passages.text: How to solve CSC = sin-1?
negative_passages.docid: 134633
negative_passages.text: How to sum this series for $\pi/2$ directly?