Convergence/Divergence of a Geometric series with a Factorial

[sikrut]

Homework Statement

Determine if the sequence {a_n} below converges or diverges. Find the limit of each convergent sequence

a_n = n!/nⁿ

Hint: Compare with 1/n .

Find the limit of the sequence {a_n} if it converges.


I missed the lesson on factorials, and the book is useless. Sorry if this seems rather simple...

 

[clamtrox]

Factorial is n! = 1*2*3*..*n, and n^n = n*n*n*...*n. Which one is bigger now?