I tried using the definition $$if \quad \lim_{n\to\infty} \mathcal X_n = \mathcal L \quad then \quad |\mathcal X_n - \mathcal L| < \varepsilon \qquad for\; every \; \varepsilon >0$$
How do I break down $\ n! $ to use this
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You can use d'Alembert test... – Surb Nov 05 '21 at 19:20
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3Check this: https://math.stackexchange.com/q/77550/42969, or one of these: https://math.stackexchange.com/questions/linked/77550. – Martin R Nov 05 '21 at 19:21