Question: Question 2: (20 points) (a) Prove that the following function is(n) T(n) 4n7 0 100n+5001000 log2n+10. (b) Prove the following tight bound for log n!.

Question 2: (20 points) (a) Prove that the following function is(n)

Question 2: (20 points) (a) Prove that the following function is(n) T(n) 4n7 0 100n+5001000 log2n+10. (b) Prove the following tight bound for log n!. log(n!) _1 log i = (n log n). Hints: The upper bound is proved by observing that log i y-n/21 log

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