Question: [15] (a) Show that f(n) = (g(n)) iff f(n) = o(g(n)). (b) Show that f(n) = (g(n)) or f(n) = o(g(n)) iff f(n) = O(g(n)).

[15]

(a) Show that f(n) = Ω(g(n)) iff f(n) = o(g(n)).

(b) Show that f(n) = Θ(g(n)) or f(n) = o(g(n)) iff f(n) = O(g(n)).

(c) Show that f(n) = O(g(n)) iff f(n) = Ω(g(n)) and f(n) = Θ(g(n)).

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