Question: Let f(n) and g(n) be non-negative functions such that f(n) is O(g(n)) and g(n) is O(f(n)). Use the denition of big Oh to prove that

Let f(n) and g(n) be non-negative functions such that f(n) is O(g(n)) and g(n) is O(f(n)). Use the denition of big Oh to prove that f(n)g(n) is O(f(n)).

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