(a) Show that the function f : N → Z+ defined by f(n) = n! is not O(n). (b) The function g : R+ –→ R+ defined by g(x) which one of the following functions? x5 + 5! + (x4 + x² + 1) log xº is big-O of (i) log xº (ii) 5! (iii): „4 (iv) x5 (v) xª log xº. Just pick the correct answer. No explanation is required (Hint: Use the relevant theorems from slides/textbook)

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A: This question can be solved using the concept of logarithmic function.

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A: Topic = Functions

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