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I am trying to find out if the following infinite series converges
Sum from n = 1 to infinity of (n factorial divided by n to the power of n).
I have tried some tests like ratio test and nth root test, but I am not sure if I am doing it right.
For example, with ratio test, I take the n+1th term divided by the nth term, but the expression is quite confusing and I do not know how to simplify or evaluate the limit.
I also tried to think of checking the nth root, but the expression nth root of n factorial divided by n to the power of n is not easy to handle. Has anyone encountered this kind of problem and can help me analyze whether this series converges or diverges?
Pages: 1