- #1
CookieSalesman
- 103
- 5
Homework Statement
Does \frac{2^{n}}{n!} converge or diverge?
The Attempt at a Solution
Is there more than one way to prove this?
I would appreciate a few directions.
I've been trying the Squeeze theorem for a long time.
I said 1/n! was smaller, but I have no damn idea how to say what's bigger. I COULD figure out how to say \frac{n!}{n^{n}} was convergent, with the squeeze theorem, but this is really difficult.
Is the squeeze theorem the only way?
Would appreciate some good hints.
Wait, what the heck, how do I get latex to work?
Oh well I think you can all figure out what's written
The first equation is plainly (2^n)/n!
The second one is n!/(n^n)