x? + 1 2х + 5 x) = 42. f(x) = %3D (x² – 1)(x² – 9) (x² – 4)(x² – 16

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I need help with only questions #41 and #42, can please explain step by step how to get the vertical asymptotes.

Thank You

In Problems 41–46, find the equations of any vertical asymptotes.
x² + 1
2х + 5
41. f(x) =
(x² – 1)(x² – 9)
42. f(x) =
(x² – 4)(x² – 16)
|
|
x? - x - 6
x² - 8x + 7
|
43. f(x)
44. f(x)
%3D
x² – 3x – 10
x + 7x – 8
x + 3x
х +x — 2
45. f(x)
46. f(x)
%3D
х3 — 36х
x³ – 3x? + 2x
Transcribed Image Text:In Problems 41–46, find the equations of any vertical asymptotes. x² + 1 2х + 5 41. f(x) = (x² – 1)(x² – 9) 42. f(x) = (x² – 4)(x² – 16) | | x? - x - 6 x² - 8x + 7 | 43. f(x) 44. f(x) %3D x² – 3x – 10 x + 7x – 8 x + 3x х +x — 2 45. f(x) 46. f(x) %3D х3 — 36х x³ – 3x? + 2x
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