This is an print out review exam problem, I just checked online and she has took this problem out. I had the older version. I guess my prof. saw the problem, sorry about that.
If you guys can help me on my second most frustrated Induction, it be great.
Use induction to prove that n! < n^n whenever n is a positive integer greater than 1.
Base case: n = 2
2! = 2 < 2^2 = 4 - checks!
Assume n! < n^n, n = k.
Prove that n! < n^n when n = k+1
(k+1)! < (k+1)^(k+1)..thats how far I got, please help.