Snake Oil

Calculus Level 3

f(n)=∑r=0n(−1)n−r(nr)rn \large f(n) = \sum_{r=0}^{n} (-1)^{n-r} \dbinom{n}{r} r^n

Find the closed form of lim⁡n→∞f(n)n!\displaystyle \lim_{n \to \infty} \dfrac{f(n)}{n!}.

Give your answer to 2 decimal places.

Ishan Singh by Ishan Singh
×

Problem Loading...

Note Loading...

Set Loading...