Part B What are the big-2 notations for the following funtions? Show your proofs (BI) 4n3 3n2 2n 5 (B2) nlog n +3n-15 What are the big-O notations for the following functions? Show your proofs (B4) n log(32n 3n2 127 (B5) V2n +30 log(4n)2 27n 3 (B6) (n 1)! 2 (B7) n+3n log(2n) +4ni Part C Show that log 1 log 2 log 3 +logn -e(n logn) for n >1