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. -15x lim x→o 8 + 2x 4х — 12 lim x→-0 x + 5x – 11 x² – 4x – 2 lim 11 – 3x2 - Vx2 + 6x lim 2 – 2x - Vx2 + 6x lim 2 – 2x X -00 |

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. -15x lim x→o 8 + 2x 4х — 12 lim x→-0 x + 5x – 11 x² – 4x – 2 lim 11 – 3x2 - Vx2 + 6x lim 2 – 2x - Vx2 + 6x lim 2 – 2x X -00 |

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 7E

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