could you please help me solve this without hand writing because hard to understand

3 Analysing Asymptotic Bounds (Marks: 6) Prove the following using the definition of asymptotic order notation or using limits. Example: 15n3 + 10n2 + 20 O(n) Hint: Consider C = 15 + 10 + 20 = 45 and no := 1. Then 0 no a) na + 3n2 2+cos(n) E O(n) b) 2n(log n) (n(log n)) c) 10n/(n - 10) O(n) d) (n2 + 1)10 (120) e) V(10m2 + 7n + 3) O(n) f) 2(n+1) + 3(n-1) (3")