Snake Oil
Calculus
Level
3
\[ \large f(n) = \sum_{r=0}^{n} (-1)^{n-r} \dbinom{n}{r} r^n \]
Find the closed form of \(\displaystyle \lim_{n \to \infty} \dfrac{f(n)}{n!}\).
Give your answer to 2 decimal places.
by
Ishan Singh