Comparing growth rates? Determine which of the two functions grows faster, or state x x/2 that they have comparable growth rates. 2 and 4

Solution Step 1 In this problem we have to determine which of the two functions e and 3 , grows faster than the other otherwise we have to state the comparable growth rates. Suppose f and gare functions such that limf(x) = , limg(x) = x x f(x) Enough to prove:lim x g(x)= 0which means ggrows faster than f as x