Summation and integration of 1/x factorial

Summation and integration of 1/x factorial

Postby Guest » Sun Oct 18, 2020 4:08 pm

How to prove this?
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Re: Summation and integration of 1/x factorial

Postby Guest » Thu Oct 22, 2020 5:57 pm

The factorial is only defined for integers so what do you mean by "x!"?

If your sum is over the no-negative integers then [tex]\sum_{n=0}^\infty \frac{1}{n!}= e[/tex] but in the integral, x cannot be an integer.
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