See reply below, thanks!

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- Oct 5th 2007, 03:14 PMff4930Induction
See reply below, thanks!

- Oct 5th 2007, 03:20 PMJhevon
- Oct 5th 2007, 03:28 PMff4930
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. - Oct 5th 2007, 03:48 PMPlato
Say that .

Look at this.

.

Can you finish? - Oct 5th 2007, 03:59 PMff4930
- Oct 5th 2007, 05:07 PMPlato
It is really

**so simple**!

- Oct 5th 2007, 05:22 PMdarken4life
wrong post sorry