Sunday, May 6, 2018

real analysis - Proof for $sum_{n=1}^{infty}frac{1}{n^2}=frac{pi^2}{6}$ without complexes?


This is what I needed. Practically, a link were also okay.


$$\sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6}$$



Answer



Evaluating ζ(2) by Robin Chapman contains several proofs (~14 altogether). You can have a look through and find a nice one.


No comments:

Post a Comment

analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...