I have to prove $n
I did it as follows. I proved the base case.
Then let it be true for $K>2$:
$ K
I have to prove,
$ K+1<(K+1)! $
$ K
Adding $1$ on both sides
$ K+1
Hence
$ K+1<(K+1)! $
Is the last step I did ($K!+1<(K+1)!$) Right?
Please help me out. Thanks!