38–51. Limits Evaluate the following limits. Use l'Hôpital's Rule when needed. (? – t – 6)? (t + 2)? (2x – 1)2(5x – 4)³ 1- cos 4t 38. lim 2 39. lim sin 30 · tan 40 41. lim 40. lim 02 (4x – 1)5 42. lim (Vr? + 5x + 4 – Vr? – 3x + 4) xe – log(1 + x) 43. lim 40 cot 50 44. lim x2 sin x\ sec пX 45. lim 46. lim 0 tan 37x 2 1 47. lim xl x x - 3x? + 2x log sin x 49. lim (cosec x – cot x) 48. lim x 0 cot x log (x-π/2) log(x – a) 51. lim a log(e* - ea) 50. lim tan x

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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38–51. Limits Evaluate the following limits. Use l'Hôpital's Rule
when needed.
(? – t – 6)?
(t + 2)?
(2x – 1)2(5x – 4)³
1- cos 4t
38. lim
2
39. lim
sin 30 · tan 40
41. lim
40. lim
02
(4x – 1)5
42. lim (Vr? + 5x + 4 – Vr? – 3x + 4)
xe – log(1 + x)
43. lim 40 cot 50
44. lim
x2
sin x\
sec пX
45. lim
46. lim
0 tan 37x
2
1
47. lim
xl x
x - 3x? + 2x
log sin x
49. lim (cosec x – cot x)
48. lim
x 0 cot x
log (x-π/2)
log(x – a)
51. lim
a log(e* - ea)
50. lim
tan x
Transcribed Image Text:38–51. Limits Evaluate the following limits. Use l'Hôpital's Rule when needed. (? – t – 6)? (t + 2)? (2x – 1)2(5x – 4)³ 1- cos 4t 38. lim 2 39. lim sin 30 · tan 40 41. lim 40. lim 02 (4x – 1)5 42. lim (Vr? + 5x + 4 – Vr? – 3x + 4) xe – log(1 + x) 43. lim 40 cot 50 44. lim x2 sin x\ sec пX 45. lim 46. lim 0 tan 37x 2 1 47. lim xl x x - 3x? + 2x log sin x 49. lim (cosec x – cot x) 48. lim x 0 cot x log (x-π/2) log(x – a) 51. lim a log(e* - ea) 50. lim tan x
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