🚀 go-pugleaf

Euler gave the proof for the limit, as n goes to oo, of

1 + 1/4 + 1/9 + 1/16 + ... + 1/(n^2)

He used a Taylor Series expansion of sin(x) / x , I believe.
Then, given that sin(x) = 0 whenever x = n*Pi where n is an integer,
he "factored" the Taylor series into [1 - x/Pi][1 - x/(2*Pi)]... ,
and equated coefficients of x^2, concluding that S =(Pi^2)/6 .
I'm fudging, of course, given that I don't remember exactly and can't
be bothered to think about it.

Brian