# Convergence of a series.

Determine whether the series

Sum(n!/n^n) n=1..infinity is absolutely convergent, conditionally convergent or divergent.

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#### Solution Preview

Please see the attached file.

<br>However before you look at the solution you mighr want to solve the question this way:

<br>apply the ratio test to the series: Calculate the limit as n goes to infinity of ...

#### Solution Summary

Applying the ratio test to determine convergence.

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