Comparing growth rates? Determine which of the two functions grows faster, or state that they have comparable growth rates. 10xand ln x 2
Solution Step 1 2 In this problem we have to determine which of the two functions 10xand ln x , grows faster than the other otherwise we have to state the comparable growth rates. Suppose f and g are functions such that lim f(x) = , lim g(x) = x x Enough to prove: lim g(x)= 0which means f grows faster than g as x x f(x) l'Hôpital's Rule: f(x) 0 f(x) ± Suppose that we have one of the following cases, lim xa g(x)= 0 or xa g(x)= ± Where a can be any real number, infinity or negative infinity. f(x) f(x) In these cases we have lim g(x)= lim g(x) xa xa
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
The full step-by-step solution to problem: 46RE from chapter: 4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 46RE from 4 chapter was answered, more than 383 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: growth, Rates, grows, faster, functions. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Comparing growth rates? Determine which of the two functions grows faster, or state that they have comparable growth rates. 10xand ln x 2” is broken down into a number of easy to follow steps, and 23 words.