i am asked to prove this statement:
$$\left(\frac{n}{3}\right)^n\leq\frac{1}{3}n!$$
Now after several attempts, i am lost not knowing where and how to start. if I use induction, i am stuck on the way. how can i solve this in an easy way? i have huge difficulties when i have to find something which is bigger than the latter term or so, because i lack some important source of maths in my brain. i am very likely to give up on the way if it becomes tough. for any guidance how to overcome this phase i will be very very thankful. i am trying for proficiency in math. Thanks