I'm trying to prove a statement with M.I. Here is my statement:
There exist an $n_{0}\epsilon\mathbb{N}$ such that $2^{n}\geq n^{4}$ for all $n\geq n_{0}$
Well, when I start to prove:
Initial step: Let n = $n_{0}$
I get $2^{n_0}\geq n_{0}^{4}$ . But I realize this equation is just true when $n_{0}$ equal to $0$, $1$.
So I mean I can't start because I get a problem at the initial step. Any advice? How can I solve this so I can continue to prove.
Thanks in advance.