# confused with Time Complexity [duplicate]

I was reading book related to Time Complexity, and came up with 4 lines of equations that I could not understand properly, could you please explain why are those true?

1) $$n = o(n\log\log n)$$

2) $$n\log\log n = o(n\log n)$$

3) $$n\log n = o(n^2)$$

Basically, when you see $$f(x)=o(g(x))$$, it indicates that $$\lim_{x\rightarrow\infty}\frac{f(x)}{g(x)}=0$$. If you plug them in, e.g., $$\lim_{x\rightarrow\infty}\frac{n}{n\log\log n}=\lim_{x\rightarrow\infty}\frac{1}{\log\log n}=0$$, you will see they satisfy it.