2. When using the limit definition of big-OH, L'Hopitals rule is very useful in determining whether g-O(f). If you don't remember L'Hopitals rule, you can look it up in any Calculus textbook Use the definition and L'hopitals rule (if needed), to find which of the following functions are big-OH of each other (that is they are 6 of each other), and order those groups so any function in one group is big-OH of any unction in a later group, but not vice verse For example, on and n/3 are of each other, and both are big-OH of n3/15, but n3/15 is not big-OH of either n or n/3, so {5n,n/3} form one group, and n3/15 forms another group, and the two groups should be ordered that way relative to each other. n, 21. n logn, log n, n-n3 7n5, n't log n' , 2n-1 , 25m2-3n log n