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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 11x <-0 ²-2x+6 + lim 13+ 148 lim * lim 15x² + 12 (6x15)2 11x-13 5-10x 2+x 8x+11 x-15 -x-12 lim √√x³+4x-11-x- lim √√x²+4x-11+x= EXIM

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 11x <-0 ²-2x+6 + lim 13+ 148 lim * lim 15x² + 12 (6x15)2 11x-13 5-10x 2+x 8x+11 x-15 -x-12 lim √√x³+4x-11-x- lim √√x²+4x-11+x= EXIM

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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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 giveni limit 11x <=0 x²2²-2x+6 15x² +12 + (6x-15)² 8x+11 11x-13 x-15 -x-12 lim √√x² + 4x-11-x= lim √x+4x-11+x= lim 13+ 148 5-10x lim x2+x lim
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 giveni limit 11x <=0 x²2²-2x+6 15x² +12 + (6x-15)² 8x+11 11x-13 x-15 -x-12 lim √√x² + 4x-11-x= lim √x+4x-11+x= lim 13+ 148 5-10x lim x2+x lim
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