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f(n)=∑r=0n(−1)n−r(nr)rn \large f(n) = \sum_{r=0}^{n} (-1)^{n-r} \dbinom{n}{r} r^n f(n)=r=0∑n(−1)n−r(rn)rn
Find the closed form of limn→∞f(n)n!\displaystyle \lim_{n \to \infty} \dfrac{f(n)}{n!}n→∞limn!f(n).
Give your answer to 2 decimal places.
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