> FInd the big-o estimate for the following functions?

FInd the big-o estimate for the following functions?

Posted at: 2014-06-09 
Hello, I need help determining Big O estimation. I know that big O estimation is finding the fastest function of x that approaches infinity. However, I've only learned theoretically what this means, and I haven't seen any examples and I don't seem to understand. Here are the problems: a) f(x) = 4x^3 + x2logx; b) f(x) = (x^5+ 3x^2 +2)/(x^3 + 6) If you could explain step-by-step what to do, that would be extremely helpful. Many of the problems I've seen on the internet use programming to achieve the result, but I haven't learned that in my class yet. Thank you in advance.