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Compute the limit. 1. lim x →∞ 2. lim x →∞ 3. lim x →∞ 2 3x +20x 2x+3x³-29 7x-9 4x+3 2 9x -2 6-29x

Compute the limit. 1. lim x →∞ 2. lim x →∞ 3. lim x →∞ 2 3x +20x 2x+3x³-29 7x-9 4x+3 2 9x -2 6-29x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem3.. A horizontal asymptote of the rational function f(x) is defined to be y = L if lim f(x) = L or lim f(x) = L. x →∞ x→-8 Find the horizontal asymptote(s) for the following f(x). 1. f(x) = 2. f(x) 3. f(x) = = 2x²-3x 2 8x +8 2 √36x +7 9x+4 2x 4+6e 5-9e 3x -x Hint: lim e x →∞ = 0, lim x →→∞0 e* = 0, lim e* x →∞ = ∞0, lim x→-8 -xX e = ∞0.
Transcribed Image Text:Problem3.. A horizontal asymptote of the rational function f(x) is defined to be y = L if lim f(x) = L or lim f(x) = L. x →∞ x→-8 Find the horizontal asymptote(s) for the following f(x). 1. f(x) = 2. f(x) 3. f(x) = = 2x²-3x 2 8x +8 2 √36x +7 9x+4 2x 4+6e 5-9e 3x -x Hint: lim e x →∞ = 0, lim x →→∞0 e* = 0, lim e* x →∞ = ∞0, lim x→-8 -xX e = ∞0.
Problem1.. Compute the limit. 2 3x +20x 4 2x+3x³-29 1. lim x →∞ 2. lim x →∞ 3. lim x →∞ 7x-9 4x+3 2 9x -2 6-29x Problem2.. (a) Compute lim x →∞0 4 9x +3x+2 3 4x³ +1 2 (b) Compte lim 2x + 1 -√√4x² + 5 x →∞
Transcribed Image Text:Problem1.. Compute the limit. 2 3x +20x 4 2x+3x³-29 1. lim x →∞ 2. lim x →∞ 3. lim x →∞ 7x-9 4x+3 2 9x -2 6-29x Problem2.. (a) Compute lim x →∞0 4 9x +3x+2 3 4x³ +1 2 (b) Compte lim 2x + 1 -√√4x² + 5 x →∞
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