![sequences and series - Why does the sum of inverse squares equal $\pi^2/6$? - Mathematics Stack Exchange sequences and series - Why does the sum of inverse squares equal $\pi^2/6$? - Mathematics Stack Exchange](https://i.stack.imgur.com/qpBge.png)
sequences and series - Why does the sum of inverse squares equal $\pi^2/6$? - Mathematics Stack Exchange
![sequences and series - Proof of $\frac{1}{N}\sum_{j=1}^{N}{\sin(jx)}<\frac{2}{Nx}, \forall x \in (-2\pi,2\pi)$? - Mathematics Stack Exchange sequences and series - Proof of $\frac{1}{N}\sum_{j=1}^{N}{\sin(jx)}<\frac{2}{Nx}, \forall x \in (-2\pi,2\pi)$? - Mathematics Stack Exchange](https://i.stack.imgur.com/Q9zhQ.png)
sequences and series - Proof of $\frac{1}{N}\sum_{j=1}^{N}{\sin(jx)}<\frac{2}{Nx}, \forall x \in (-2\pi,2\pi)$? - Mathematics Stack Exchange
What's an intuitive explanation of the following mathematical fact: [math]\displaystyle \sum_{n=1}^{\infty}{\frac{1}{n^2}} = \frac{\pi^2}{6}[/math]? - Quora
![Given that sum(n=1)^oo 1/n^2=pi^2/6 and sum(n=1)^oo 1/(n^2+8n+16)=pi^2/a-b where a in N and b in Q , then a is equal to Given that sum(n=1)^oo 1/n^2=pi^2/6 and sum(n=1)^oo 1/(n^2+8n+16)=pi^2/a-b where a in N and b in Q , then a is equal to](https://d10lpgp6xz60nq.cloudfront.net/ss/web/60853.jpg)