I quite like the following definition of pi and I wonder which(adsbygoogle = window.adsbygoogle || []).push({}); minimal algebraic rulesare 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?)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Make this definition of pi work

**Physics Forums | Science Articles, Homework Help, Discussion**