Question: I have questions about big O notation. I tried to solve x^2 log x for O(x^2), but I cannot prove it. Could you help me

I have questions about big O notation. I tried to solve x^2 log x for O(x^2), but I cannot prove it. Could you help me with it? Also, I am not sure if I am on the right way to answer other questions. Could you check if my answers make sense?

Thanks,

1. (12pts) Determine whether each of these is O(x2). Note that you need to provide the witnesses C and k in this problem. (a) f(x) = 2x + 100 (b) f(a) = (x+ 1)2 (c) f(x) = x2 log x (d) f(x) = 23/3 (e) f(a) = 1.5x (f) f(ac) = Lac] . [x]1. (a) f(x) = 2x + 100 Yes. C = 102 and k =100 Since x 100. 2x + 100 1. 0 k Solving the inequality 1.5* 1 [[ x ] * [x]| = [x] * [x]

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