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1. Prove the following statements using the definitions of the given asymptotic notations (15pts). (a) Show 5n+150n + 100 is in O(n). (b) Show

1. Prove the following statements using the definitions of the given asymptotic notations (15pts). (a) Show 5n+150n + 100 is in O(n). (b) Show 10n - 20n + 10n is in 2(n) (c) Show (1/20)n -5n is in (n).

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