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## Main Question or Discussion Point

I quite like the following definition of pi and I wonder which

[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?)

*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?)