Limit involving factorial and power

1675AdeptCalculusSequences & Series

Olimpiada Națională de Matematică

Let $a, b, c \in \mathbb{R}$, $a>0$. Compute: $$ \lim_{n \rightarrow \infty} \frac{(n!)^{2a}}{(n+b)^{a n + c}} $$

0 students attempted0% solvedRating 1675

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1675AdeptCalculusSequences & Series

Olimpiada Națională de Matematică

Let $a, b, c \in \mathbb{R}$, $a>0$. Compute: $$ \lim_{n \rightarrow \infty} \frac{(n!)^{2a}}{(n+b)^{a n + c}} $$

0 students attempted0% solvedRating 1675