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so the def. says that $f(n) \in o(g(n))$ if for any $C > 0$ we have $C g(n) > f(n)$ for all $n\geq n_{0}$

i.e $$ \lim_{n\rightarrow \infty}\frac{f(n)}{g(n)} = 0 $$

in small o we the condition must hold for all $C>0$

can we have limit def. for O (Big-oh)?

or will it be right to find limit for small (oh) and then proceed to find cases for equality?

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closed as unclear what you're asking by Did, Brian Borchers, José Carlos Santos, Xander Henderson, Sahiba Arora Jan 15 '18 at 18:07

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