hello people!
in this question it says prove the following using mathematical induction:
n! < n^n
p(2) = 2! < 2^2 (True)
p(n) = n! < n^n
p(n+1) = (n+1)! < n ^ (n+1)
proof:
n . n! < n^n . n
n. n! < n ^ (n+1)
(n+1).n! < n^ (n+1)
(n+1)! < n ^ (n+1)
is this true??? I dont think so ....
Thanks in advance for helping me