Question: Let f and g be continuous, positive functions defined on the interval [0,00). Prove or disprove the following statements, giving a counterexample in the case

Let f and g be continuous, positive functions defined on the interval [0,00). Prove or disprove the following statements, giving a counterexample in the case that a statement is false: (i) If f(z) = O(g(2)), then h(x) = g(x)/ f(x) is bounded. (ii) If g(x) = O(f(a)), then h(x) = g(x)/ f(x) is bounded

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