1. Prove the following statements using the definitions of the given asymptotic notations (15pts). (a) Show...
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1. Prove the following statements using the definitions of the given asymptotic notations (15pts). (a) Show 5n³+150n + 100 is in O(n²). (b) Show 10n³ - 20n² + 10n is in 2(n²) (c) Show (1/20)n³ -5n is in (n¹). 1. Prove the following statements using the definitions of the given asymptotic notations (15pts). (a) Show 5n³+150n + 100 is in O(n²). (b) Show 10n³ - 20n² + 10n is in 2(n²) (c) Show (1/20)n³ -5n is in (n¹).
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