[sdiy] Screwing with Square Waves

[cheater00 .]

On Fri, Nov 1, 2013 at 8:05 PM, cheater00 . <cheater00 at gmail.com> wrote:
> More technically, it converges
> because there is such a function such that the absolute area between
> that function and a partial sum of our series converges to 0 as the
> number of terms of the partial series increases:
>
> E.f(x) => Int (Sum_{n=0}^k f_n(x) - f(x)) dx -> 0, as k->+oo
>
> That function is called the limit, and it is the square wave.

That should've obviously read:

E.f(x) => Int |Sum_{n=0}^k f_n(x) - f(x)| dx -> 0, as k->+oo

Cheers,
D.