Give two functions that is in O(n^2) but not in o(n^2).The answer is nlogn and n,But I think a lot but can't understand why answer are them.I doubt answers is wrong.And this question,Give two functions that is in big-omega(n^2) not in little-omega(n^2)?The answer is n^2logn and n^3.But I think a lot but can't understand why answer are them.
function in big O but not in little o?
asymptotics
Where have you got those answers?1. Answers are wrong if that was the task. The simplest answer is $n^2$. Why? Because this function satisfies restructions: $\lim_{n\to\infty}\frac{f(x)}{n^2}>0$ (not in $o(n^2)$ requirement) and $\lim_{n\to\infty}\frac{n^2}{f(x)}>0$ (in $O(n^2)$ requirement).2. Exactly the same answer.