3 ms·
Is that the sum of ( -1 )^n / ( n! ) or ( ( -1 )^n / n )! and maybe the tranformation is trivial, but why does this equal e^(-1)? Edit: I guess the factorial o
by conceit 11y ago
Is that the sum of ( -1 )^n / ( n! ) or ( ( -1 )^n / n )! and maybe the tranformation is trivial, but why does this equal e^(-1)?
Edit: I guess the factorial of a fraction doesn't make much sense.
- baghira 11y agoYou can definitely extend the definition of factorial to the complex numbers using Euler's Gamma function, but the notation is different (indeed ! is reserved for integers). As far as the second question goes, that's taken to be the definition e^x := \sum_{n=0}^{\infty} (x^n)/(n!)