Recent content by Aaron Buckley

So, To get to 2x3, do we first ignore 5log x because x3 has a higher exponent? Then x3 < 2x3? Further do we ignore the +1 in the denominator because x4 is a higher power? But since we already have an inequality by altering the numerator we do not need to create the coefficient of 2 for the...

Ok. So this is definitely helping me understand this better. I went ahead and answered the next few problems as follows: b) If then the least integer n is 5 Because 3x5 is greater than (log x)4 c) If then the least integer n = 0 Because dividing the two terms gives you 1+ ((x2)/(x4+1))...

I have just seen other sources immediately jump to solving C and k when I look up guides on solving these problems so I have been under the impression this entire time that those were important parts of solving for n. So is there any significance to doing this step? Or does adding the...

So, we can solve these specific questions without using C and k? Also, which two terms did 3 cover and in what way did it cover them? So we chose x3log x instead of 2x2 because it had the highest visible exponent correct? So if the 2x2 would have been 2x5 we would have gone with that instead...

And now these have me lost. So i understand that ∈ is element. So ƒ∈O(xn) means the function is an element of O right? So it is asking which number is the smallest value of n that allows that function to be a element of that group? To do this you say we need to prove that 1 minus the number...

I am currently studying computer sciences and want to do software development, so I am thinking I will probably be more in the first scenario because it mentions algorithms. So was C only 3 because that's what I thought the upper boundary would be? I understand that 100 would be too large...

So do we just choose any number for C? Also, I still don't know how C and k are used to solve these. What do they represent? Because my answers so far are looking for the exponent n. Secondly, is n just going to be the highest exponent in the problem once log's are solved? Also where did the 3...

I haven't seen anything mention upper bounds yet so I am not sure... Isn't the upper bound the highest exponent in terms of other mathematics? If that is the case the upper bound here would be 3 because x3?For reference this is a link to the website that made the most sense to me, but I still...

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...