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Prove directly from the definition of big O that f(x) = 3x 3 + 4x 2 + 36x + 124 is O(x 3 ). Your

Prove directly from the definition of big O that f(x) = 3x3 + 4x2 + 36x + 124 is O(x3).

Your proof should end up with C and k no bigger than 6.

b) Repeat part a by taking a limit rather than proving from the definition. Show each step in taking the limit

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