37–50. Horizontal asymptotes Determine lim f(x) and lim f(x) x-0 for the following functions. Then give the horizontal asymptotes of f (if any).
37–50. Horizontal asymptotes Determine lim f(x) and lim f(x) x-0 for the following functions. Then give the horizontal asymptotes of f (if any).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Please help me answer questions 45 and 49.
Transcribed Image Text:37–50. Horizontal asymptotes Determine lim f(x) and lim f(x)
for the following functions. Then give the horizontal asymptotes of
f (if any).
4х
3x? – 7
37. f(x)
38. f(x)
20x + 1
x² + 5x
6x2
39. f(x)
9х + 8
12x° – 3
40. f(x)
3x² + 2
3x8
2r7
2x'
3x – 7
2x + 1
41. f(x)
42. f(x)
x* + 5x?
3x* – 2
40x + x?
6x² + 1
43. f(x)
44. f(x)
16x* – 2x
V4x* + 3x + 1
1
Vx² + 1
45. f(x)
46. f(x)
2r* -
V4x8 – 9x*
2х + 1
4x + 1
47. f(x)
48. f(x) = x – Vx² – 9x
2r3 + V16x° + 1
Vx6 + 8
49. f(x)
50. f(x)
= 4x(3x – V9x² + 1)
4x2 + V3xª + 1
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