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First, I don't know if this is the right place so if not, please direct me. Thank you.

As for the question, I am in a discrete mathematics class online. The instructor is practically non-existent when asking for help simply saying to "refer to the book for clarification". I have scoured google, but every explanation I read seems to skip steps or miss chunks of explanations and leaves me lost. They seem to bring numbers out of no where. I understand I will probably get that here a bit as well, but with an open thread instead of a closed one I would imagine I would be able to ask for help in those specific area's as they arise.

The specific question is currently on my homework as follows:

Now, I have been looking for answers and these happen to be commonly used questions so I know the answer is 4. But I don't know how they got there because the next part leaves me just as clueless:

When looking at other explanations there are steps that read as follows:

(x

And I just really feel like I am missing some set of rules or something and would appreciate help with being walked back through the first question so I can reflect my understanding with the second.

As for the question, I am in a discrete mathematics class online. The instructor is practically non-existent when asking for help simply saying to "refer to the book for clarification". I have scoured google, but every explanation I read seems to skip steps or miss chunks of explanations and leaves me lost. They seem to bring numbers out of no where. I understand I will probably get that here a bit as well, but with an open thread instead of a closed one I would imagine I would be able to ask for help in those specific area's as they arise.

The specific question is currently on my homework as follows:

**Find the least integer n such that f (x) is O(xn) for each of these functions.**

a) Ifa) If

*f*(*x*) = 2*x*+^{2}*x*log^{3}*x*then the least integer*n*isNow, I have been looking for answers and these happen to be commonly used questions so I know the answer is 4. But I don't know how they got there because the next part leaves me just as clueless:

**b) If
then the least integer ***n*isWhen looking at other explanations there are steps that read as follows:

(x

^{3}logx) = x^{4}= x^{5}And I just really feel like I am missing some set of rules or something and would appreciate help with being walked back through the first question so I can reflect my understanding with the second.