Ln (n+ 1) < n (derived and easy to prove)

Then, the original problem is proved by mathematical induction.

N = 2, LN2/2 < 1/2, which holds.

Assuming that n holds, then when n+ 1

Just prove that ln (n+1)/(n+1) < n/(n+1).

That is, ln (n+ 1) < n

find

All in all, it turns out