The Infinite Sum of 1/n^2 (Advanced)
The proof that the sum from n = 1 to infinity of 1/n^2 is equal to (pi^2)/6
This is also called "The Basel Problem" solved by Leonhard Euler in 1734.
1) The Weiestrass Factorisation Theorem
2) Derive an infinte product for sin(x)/x
3) Find the Maclaurin series for sin(x)/x
4) Equate both of the x^2 coefficients
5) Rearrange
Created by Ben Phillips
@universityofderbymathssoci9637
@UniversityofDerby