Determine which of the two functions grows faster, or state that they have comparable growth rates.

\(\sqrt{x}\ and\ \ln^{10}x\)

Solution Step 1 In this problem we have to determine which of the two functions ln xand log x, grows faster 10 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:limx g(x)= which means f grows faster than gas x