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## Homework Statement

The sequence is [itex]a_n = \frac{n^P}{e^n}[/itex]

## Homework Equations

## The Attempt at a Solution

If I did L'Hopital's rule P times, would the final product look like:

[itex]P!\times lim_{n \rightarrow \infty} = \frac{1}{e^n}[/itex] ?