Consider
$\sum_{i=0}^{\infty} \dfrac{n-i}{n!}$
For $n \geq i$
Consider $n$ to be any natural number. I know for sure it's going to converge, but how do I write a formula for the sum?
Possible interpretation:
Find: $\lim_{n\to \infty}\sum_{i=0}^{n} \dfrac{n-i}{n!}$