Question: Prove or disprove the following statements: (using the big O rule and the theta o rule) (v) n1.001+n log n=0(n log n) (vi) n 1+2/

Prove or disprove the following statements: (using the big O rule and the theta o rule)

(v) n1.001+n log n=0(n log n) (vi) n 1+2/ log n-O(n log n) (vii) log n + log n2 + log n: (log n) (viii) (n+1)+log n = (log n) v111 1X 2n (x) log log logn - O(log n 1/3)

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