47. lim- v-3 48. lim y-2 49, lim x-2 v-1-√²-5 v 3 y²+y-6 50. lim x 2 50 51. lim x18 8-y²-y x² - 4x + 4 - lima sin²Tx 3x+2-2 x-2 x² - ln(2/x) 3x² + 2x 1 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 6E
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Evaluate the following limits. Use I’ Hopital’s rule when it is convenient and applicable. Question (47 and 57 please) Show work, thank you!
45.1
47.g
49.
51.
59.
1_1
3
53.1
55.0
57.1
7
6
1
2
61.0
1
2
Transcribed Image Text:45.1 47.g 49. 51. 59. 1_1 3 53.1 55.0 57.1 7 6 1 2 61.0 1 2
47. lim
v-3
48. lim
v-1-√√√√²-5
v 3
y²+y-6
y 2 8- y²-y
x² - 4x + 4
49, lim
x-2
50. lim
x-2
sin²7 TX
√3x + 2-2
51. lim
x18
52. lim
x - 2
x² - In(2/x)
3x² + 2x
1
x→1+ X
53. limx csc x
x-0
54. lim (1 − x) tan
x-1-
56. lim csc
x→∞
57. lim
55. lim csc 6x sin 7x
x→0
x⇒π/2-
1
√x - 1
TX
2
π
2
(-/-) (e/
(e¹/x - 1)
X sec x
Transcribed Image Text:47. lim v-3 48. lim v-1-√√√√²-5 v 3 y²+y-6 y 2 8- y²-y x² - 4x + 4 49, lim x-2 50. lim x-2 sin²7 TX √3x + 2-2 51. lim x18 52. lim x - 2 x² - In(2/x) 3x² + 2x 1 x→1+ X 53. limx csc x x-0 54. lim (1 − x) tan x-1- 56. lim csc x→∞ 57. lim 55. lim csc 6x sin 7x x→0 x⇒π/2- 1 √x - 1 TX 2 π 2 (-/-) (e/ (e¹/x - 1) X sec x
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