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Assuming that f 1 (n) is O(g 1 (n))) and f 2 (n) is O(g 2 (n)), by finding counterexamples, refute the following statements by

Assuming that f₁(n) is O(g₁(n))) and f₂(n) is O(g₂(n)), by finding counterexamples, refute the following statements by supplying f1, f2, g1, and g2: a) f₁(n)-f₂(n) is O(g₁(n)-g₂(n)). b) f₁(n)/f₂(n) is O(g₁(n)/g₂(n)).

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