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**Homework Statement**

Using the sandwich rule (which i understand) find the limit of n!/n

^{n}

**The attempt at a solution**

To my knowledge n! is the fastest growing function you can have, so I immediately thought the function did not have a limit, however, the answer states the limit to be 1

I know that the bound on n! would be 1 =< n! < inf (?) but then dividing through by n

^{n}doesn't really help.

I am stuck :/

What am I doing wrong?