Proof: Xn<N!: A Mathematical Exploration

[dannysaf]

proof xⁿ < n!

 

[efekwulsemmay]

We would be happy to help you if you at least try the problem yourself and show us what you have tried

 

[Office_Shredder]

Obviously not.

3¹>1!

Have you started trying to prove it yet? Presumably the question asks to prove that for large enough n... what are your initial thoughts?

 

[Gregg]

Maybe he means n^n<n! because there is always $$x=n!^{1\over n}$$ ?

If so, you need to construct your argument around n^n = n*n*n*n...*n (n times) and n! = n(n-1)(n-2)...3.2.1 I think.

 

[Borek]

Perhaps for n approaching infinity?