Solution Found!
Comparing growth rates Determine which of the
Chapter 4, Problem 49RE(choose chapter or problem)
QUESTION:
Determine which of the two functions grows faster, or state that they have comparable growth rates.
\(2^x\ and\ 4^{x/2}\)
Questions & Answers
QUESTION:
Determine which of the two functions grows faster, or state that they have comparable growth rates.
\(2^x\ and\ 4^{x/2}\)
ANSWER: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