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I'm learning some mathematics by myself and get stuck. The problem is to show that

$n! = \omega\big((\frac{n}{3})^{n+e}\big)$, $\omega$ is the asymptotic notation.

It's from the Problem Set 7 of MIT 6.042

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    Just to clarify myself on the little $\omega$ notation: $f \in \omega(g) \iff g \in o(f)$?2012-12-27

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