Big Oh,small Oh and Big theta relations.

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If a function f(x)=O(g(x)), then there is a chance that f(x)=Ω(g(x)) and f(x)= ϴ(g(x)),but if f(x)=o(g(x)), is it possible that f(x)=Ω(g(x)),or f(x)=ω(g(x))?