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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 8E

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Question

1.11

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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