4. Answer the following questions by a proof or dis-proof. 4.1. What is the big-O estimate for f(n) = 87 logź(3n) + 2n³ log3(7n²) + 4n³ /n + 7 ? 4.2. What is the big-O estimate for f (n) = 4n* + 2n²vnlog3(n*) + 11n³ Vn log3(2n) – 11n + 3 ? 4.3. Is f(n) = 13n² + 6nyn log(3n²) – 4n logź(5nª) + 2n – 1 in N(n³)? Is f (n) in 0(n²)? Is f (n) in N(n²)?

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