DiscreteAsymptotic
DiscreteAsymptotic[expr, n -> ∞] gives an asymptotic approximation for expr as n tends to infinity over the integers.
DiscreteAsymptotic[expr, {n, ∞, m}] gives an asymptotic series approximation for expr to order m.
Examples
Find discrete asymptotic:
DiscreteAsymptotic[n!, n -> Infinity]Please visit the official Wolfram Language Reference for more details.