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Happy Pi Day


kfay

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pi is

 

4/1 - 4/3 + 4/5 - 4/7 + 4/9 - 4/11 .............

 

Pretty cool hu?

I think e rivals you there:

 

e^x = Sum((x^n)/n!) = 1 + x + x^2/2! + x^3/3! + ...

 

so e = e^1 = 1 + 1 + 1/2! + 1/3! + 1/4! + ...

= 1 + 1 + 1/2 + 1/6 + 1/24 + ....

= 2.718281828

e is probably my favorite number.

 

it's also (1 + 1/n) ^ n as n ------> infinity.

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No need to choose between pi and e. From Euler we have

1+e^(i pi) =0

 

Was it Laplace who argued that the above equation proves the existence of God? Please, I mention this as an amusing aside. I sincerely hope it does not lead to pro and con arguments on this issue.

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