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## Homework Statement

Find the limit of the sequence given by [itex]S_{n}=\frac{n^{n}}{n!}[/itex]

## Homework Equations

[itex]lim_{n->∞}\frac{n^{n}}{n!}[/itex]

## The Attempt at a Solution

I know the sequence diverges, but that doesn't mean the limit is also ∞, right?