# Convergence of a series.

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Determine whether the series

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

Â© BrainMass Inc. brainmass.com March 6, 2023, 1:20 pm ad1c9bdddfhttps://brainmass.com/math/real-analysis/convergence-of-a-series-16646

#### 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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