(x+1)(x-2) 28. f(x) = %3D o(x-2)(x+2)2 ald worl m1 30. f(x) = O 2+3x %3D %3D 4* - 6(2*) +5 32. f(x) = - %3D 1- 2* nolbr1 34. f(x) %3D tan-x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
100%
#28 and #34 please
Find the roots, discontinuities, and horizontal and vertical
asymptotes of the functions in Exercises 23-34. Support your
20 100 that approaches (a) 1, (b) e, (c) ∞.
Skills
51. lim (x1
answers by explicitly computing any relevant limits.
x2 - 2x-3
23. f(x) =
24. f(x) =
2x2 -1
53. lim
%3D
x- 3
x2-2x+1
(x+1)(x-2)
(x– 2)(x+2)
(x+1)(x-2)
(x-2)² (x+2)
55. lim
X-0+
(x+1)(x-2)²
(x-2)(x+2)
(x+1)(x-2)
(x-2)(x+2)²
25. f(x) =
26. f(x) =
%3D
4-3
27. f(x) =
28. f(x) =
57. lim
57
X00
3-5
29. f(x) = _2ar of
4+e-2r
mil eid wo
59. lim
41
1
30. f(x) =
%3D
X-00
Mot 2+3*
2e1.5r
61. lim
X00 3e +el.
2 -4x
31. f(x) =
3x
4* – 6(2*) +5
1- 2x
e 32. f(x) =
63. lim In(x² – 9"
33. f(x) = tan-1(3x) + 1
nolb 1
34. f(x) =
tan-1x
X3+
65. lim(Inx – l-
X00
Calculate each limit in Exercises 35-80.
1- cos 2-
35. lim -4x 3
gdu36. lim 2r-3/4h
67. lim
7x
37. lim 2x-4/3
lim -5x 3/5
69. lim
x+0 1- cosx
38.
X00
x-00
39. lim (Vx - x)
lim (x4 – x³)
sin 3x
40.
71. lim
X0 x3 - x
x→-00
41. lim (-3x + 4x + 11)
lim (5 - 2x+3x )
42.
x? csc-
X00
X→-00
73. lim
x→0+ 1- cos
43. lim
x2 + 8x + 16
44. lim
x+2 (x- 2)2
x+1
secx tan
x→-4 (x+ 4)² (x + 1)
75. lim
x2 +1
x+4
45. lim
X+0 x(x – 1)
46.
lim
x→-4 x2 + 8x+ 16
77. lim(1+x)/
Transcribed Image Text:Find the roots, discontinuities, and horizontal and vertical asymptotes of the functions in Exercises 23-34. Support your 20 100 that approaches (a) 1, (b) e, (c) ∞. Skills 51. lim (x1 answers by explicitly computing any relevant limits. x2 - 2x-3 23. f(x) = 24. f(x) = 2x2 -1 53. lim %3D x- 3 x2-2x+1 (x+1)(x-2) (x– 2)(x+2) (x+1)(x-2) (x-2)² (x+2) 55. lim X-0+ (x+1)(x-2)² (x-2)(x+2) (x+1)(x-2) (x-2)(x+2)² 25. f(x) = 26. f(x) = %3D 4-3 27. f(x) = 28. f(x) = 57. lim 57 X00 3-5 29. f(x) = _2ar of 4+e-2r mil eid wo 59. lim 41 1 30. f(x) = %3D X-00 Mot 2+3* 2e1.5r 61. lim X00 3e +el. 2 -4x 31. f(x) = 3x 4* – 6(2*) +5 1- 2x e 32. f(x) = 63. lim In(x² – 9" 33. f(x) = tan-1(3x) + 1 nolb 1 34. f(x) = tan-1x X3+ 65. lim(Inx – l- X00 Calculate each limit in Exercises 35-80. 1- cos 2- 35. lim -4x 3 gdu36. lim 2r-3/4h 67. lim 7x 37. lim 2x-4/3 lim -5x 3/5 69. lim x+0 1- cosx 38. X00 x-00 39. lim (Vx - x) lim (x4 – x³) sin 3x 40. 71. lim X0 x3 - x x→-00 41. lim (-3x + 4x + 11) lim (5 - 2x+3x ) 42. x? csc- X00 X→-00 73. lim x→0+ 1- cos 43. lim x2 + 8x + 16 44. lim x+2 (x- 2)2 x+1 secx tan x→-4 (x+ 4)² (x + 1) 75. lim x2 +1 x+4 45. lim X+0 x(x – 1) 46. lim x→-4 x2 + 8x+ 16 77. lim(1+x)/
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