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let f1(n); f2(n); g1(n); and g2(n) be functions of n such that f1(n) = (f2(n)) and g1(n) = (g2(n)) Using the formal definition of (),

let f1(n); f2(n); g1(n); and g2(n) be functions of n such that f1(n) = (f2(n)) and g1(n) = (g2(n))

Using the formal definition of (), show that the following may not necessarily hold: f1(n) - g1(n) = (f2(n) - g2(n)): (Here, you need to explicitly construct a counterexample.)

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