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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. -13x lim x-0o 6 2x -13/2 9х — 2 lim x--0o x3 + 10x x2- 8x 13 0 12 lim -1/15 5 — 15х2 x->0o x2 + 6х lim 7 0 2x х->о Vx2 6x lim 0 7- 2х

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. -13x lim x-0o 6 2x -13/2 9х — 2 lim x--0o x3 + 10x x2- 8x 13 0 12 lim -1/15 5 — 15х2 x->0o x2 + 6х lim 7 0 2x х->о Vx2 6x lim 0 7- 2х

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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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. -13x lim x-0o 6 2x -13/2 9х — 2 lim x--0o x3 + 10x x2- 8x 13 0 12 lim -1/15 5 — 15х2 x->0o x2 + 6х lim 7 0 2x х->о Vx2 6x lim 0 7- 2х
Transcribed Image Text: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. -13x lim x-0o 6 2x -13/2 9х — 2 lim x--0o x3 + 10x x2- 8x 13 0 12 lim -1/15 5 — 15х2 x->0o x2 + 6х lim 7 0 2x х->о Vx2 6x lim 0 7- 2х
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