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۱۰۱۱ A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the given limit. 2x lim 15 + 848 2 – 52 lim → ∞ 7+x x²-3x + 11 lim 818 8x +11 lim → ∞0 x 10 lim H118 + 2x² +9 (12x - 9)² 2x - 15 -x-7 x² + 6x13 - x = x² + 6x-13 + x =

۱۰۱۱ A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the given limit. 2x lim 15 + 848 2 – 52 lim → ∞ 7+x x²-3x + 11 lim 818 8x +11 lim → ∞0 x 10 lim H118 + 2x² +9 (12x - 9)² 2x - 15 -x-7 x² + 6x13 - x = x² + 6x-13 + x =

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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۱۰۱۱ A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the given limit. 2x lim 15 + IIX x2-3x + 11 + 2–5r lim I→-∞0 7+x 8x +11 lim I→ ∞ x - 10 lim 8118 lim √√x² + 6x 818 = 2x² +9 (12x - 9)² 2x - 15 -x - 7 x² + 6x-13-x= = - x² + 6x 13 + x = =
Transcribed Image Text:۱۰۱۱ A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the given limit. 2x lim 15 + IIX x2-3x + 11 + 2–5r lim I→-∞0 7+x 8x +11 lim I→ ∞ x - 10 lim 8118 lim √√x² + 6x 818 = 2x² +9 (12x - 9)² 2x - 15 -x - 7 x² + 6x-13-x= = - x² + 6x 13 + x = =
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