# Is #sum_(n=0)^oo (1-1/n)^n# convergent or divergent ?

The binomial theorem allows us to see this, though I'm not sure how rigorous it is.

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The series is divergent.

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The series ( \sum_{n=0}^{\infty} \left(1 - \frac{1}{n}\right)^n ) is convergent.

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