lim-n-n-e-x-n-where-x-n-1-1-1-1-2-1-n-

Question Number 204900 by universe last updated on 01/Mar/24

\lim_{n \to \infty} n! (e - x_{n}) = ?

where x_{n} = 1 + \frac{1}{1!} + \frac{1}{2!} + \dots + \frac{1}{n!}

Commented by Frix last updated on 01/Mar/24

x_{n} \to e \Rightarrow Answer is 0

Commented by JDamian last updated on 02/Mar/24

B u t n! \to \infty \Rightarrow \infty \cdot 0

Facebook Tweet Pin