Question: solve . It is a common mistake that if f(n) * (g(n)) then f(n) = O(g(n)) and if f(n) * O(g(n)) then f(n) = 2(g(n))

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. It is a common mistake that if f(n) * (g(n)) then f(n) = O(g(n)) and if f(n) * O(g(n)) then f(n) = 2(g(n)) but these are false. Draw an example specifically for g(n) = 1. In other words draw a function f(n) such that f(n) An(1) and f(n) + 0(1). Note that your function needs to be inclusive enough to clearly communicate its behavior. Solution

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