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For each pair of functions below, use limits to determine which function g all work. (a) In(x) and lIn(2x) (b) eª and 22x (c) eª and ex-1 (d) eª and x52ª

For each pair of functions below, use limits to determine which function g all work. (a) In(x) and lIn(2x) (b) eª and 22x (c) eª and ex-1 (d) eª and x52ª

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 3 For functions that are positive as x → o we say f grows faster than g as x → o if f (x) lim xo g(x) This is the same as if g(x) lim - 0, x→0 f(x) and in words we could also say g grows more slowly than f as x → ∞. For each pair of functions below, use limits to determine which function grows faster as x → ∞. Show all work. (a) In(x) and In(2.x) (b) е" and 22х (c) e and e²–1 (d) eª and x52" (e) In(e + cos x) and x In(x)
Transcribed Image Text:Question 3 For functions that are positive as x → o we say f grows faster than g as x → o if f (x) lim xo g(x) This is the same as if g(x) lim - 0, x→0 f(x) and in words we could also say g grows more slowly than f as x → ∞. For each pair of functions below, use limits to determine which function grows faster as x → ∞. Show all work. (a) In(x) and In(2.x) (b) е" and 22х (c) e and e²–1 (d) eª and x52" (e) In(e + cos x) and x In(x)
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