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Prove the following using the original definitions of O, N, 0, 0, and w. (a) 3n+50n+ 4n - 9 0() (b) 1000n (n) (c)

Prove the following using the original definitions of O, N, 0, 0, and w. (a) 3n+50n+ 4n - 9  O(n) (b) 1000n  

Prove the following using the original definitions of O, N, 0, 0, and w. (a) 3n+50n+ 4n - 9 0() (b) 1000n (n) (c) 10n +7n w(n) (d) 78n o() (e) n + 3n-10 = O(n)

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