Number Theory

    

A Brief Proof that Pi is Irrational

Authors: Timothy Jones

It is shown that the limit of cos(j) and sin(j) as j goes to infinity do not exist. Using DeMoivre's theorem this implies the limits of sin(j!) and cos(j!) don't exist either. Assuming pi is rational, its multiple can be expressed as a factorial. From this a contradiction is derived.

Comments: 3 Pages. There was as error in the earlier draft that someone pointed out. This draft gives a correction.

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Submission history

[v1] 2024-11-13 19:53:21
[v2] 2024-11-17 08:16:42

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