- #1
Gerenuk
- 1,034
- 5
I quite like the following definition of pi and I wonder which minimal algebraic rules are needed to make this definition work?
[tex]\lim_{n\to\infty}\left(1+\frac{a}{n}\right)^n=1[/tex]
[tex]\therefore |a|=2\pi k[/tex]
(For example, are there algebras more general than complex numbers, where this works?)
[tex]\lim_{n\to\infty}\left(1+\frac{a}{n}\right)^n=1[/tex]
[tex]\therefore |a|=2\pi k[/tex]
(For example, are there algebras more general than complex numbers, where this works?)