Comparing growth rates? Determine which of the two functions grows faster, or state x that they have comparable growth rates. e and 3
Solution Step 1 x 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 xf(x) = , limx) = Enough to prove:lim f(x)= 0which means ggrows faster than f as x x g(x) l'Hôpital's Rule: f(x) 0 f(x) ± Suppose that we have one of the following cases, lim g(x)= o0 lim g(x)= ± xa xa Where a can be any real number, infinity or negative infinity. f(x) f(x) In these cases we have lim xa g(x)= xa gx)
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
The full step-by-step solution to problem: 47RE from chapter: 4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: growth, Rates, functions, faster, determine. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Since the solution to 47RE from 4 chapter was answered, more than 323 students have viewed the full step-by-step answer. The answer to “Comparing growth rates? Determine which of the two functions grows faster, or state x that they have comparable growth rates. e and 3” is broken down into a number of easy to follow steps, and 23 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.