n/(1.09^n) -> 0
n^(1/n) -> 1
(2^n + 3^n)^(1/n) -> 3

How large does n have to be for these sequences to be within 10^-6 of their limits?

I've only seen two examples of these where the person implimented the binomial expansion after rearrangement but I cant see this working here? Any help appreciated because I'm bloody sick lol