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5. (5 marks) Use the definition of big-O to prove the following statement: For any functions f1, f2 and g, if fi(n) E O(g(n)) and

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5. (5 marks) Use the definition of big-O to prove the following statement: For any functions f1, f2 and g, if fi(n) E O(g(n)) and f2(n) E O(g(n)), then the function f(n) = fi(n) + f2(n) is also in O(g(n))

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