5-46 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. If l'Hospital's Rule doesn't apply, explain why. 5. lim 7. x→1 X lim X-> (π/2) + 9. lim t->0 x² 1 2 11. lim x18 15. lim x-0 et 13. lim x->0+ - Et - COS X 1 sin x t3 In x √√x In x X X 1 1 + 2x - X √1 - 4x xa x1 xb 6. lim 8. lim 12. 10. lim 1-0 sin 4x x-0 tan 5x lim 0-T/2 14. lim 818 - - 16. lim e³t 1 t 1 1 X (In x)² csc 0 ln x x-1 sin TX u/10 sin 0
5-46 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. If l'Hospital's Rule doesn't apply, explain why. 5. lim 7. x→1 X lim X-> (π/2) + 9. lim t->0 x² 1 2 11. lim x18 15. lim x-0 et 13. lim x->0+ - Et - COS X 1 sin x t3 In x √√x In x X X 1 1 + 2x - X √1 - 4x xa x1 xb 6. lim 8. lim 12. 10. lim 1-0 sin 4x x-0 tan 5x lim 0-T/2 14. lim 818 - - 16. lim e³t 1 t 1 1 X (In x)² csc 0 ln x x-1 sin TX u/10 sin 0
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
Number 18
![5-46 Find the limit. Use l'Hospital's Rule where appropriate. If
there is a more elementary method, consider using it. If l'Hospital's
Rule doesn't apply, explain why.
5. lim
7.
x→1 X
9. lim
t-0
COS X
lim
x-> (π/2)* 1 sin x
11. lim
x²
2
13. lim
x →0+
15. lim
x-0
17. lim
t→0
19. lim
x-0
- X
-
t³
In x
√x
In x
X
1
√1 + 2x
5¹ - 3¹
t
X
2
-
X
- X
√1 - 4x
6. lim
x → 1 xb
8. lim
sin 4x
x→0 tan 5x
10. lim
t->0
12. lim
0→TT/2
14. lim
x →∞0
a
X 1
16. lim
18. lim
U→∞0
20. lim
x->0
-
31
1
-
t
X
In x
x=1_sin πχ
1
(In x)²
csc 0
e ¹/10
u³
sin 0
COs mx
x²
COS nx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9de8e5e7-e696-467c-917a-3c75c916b2b0%2F916e330b-1e97-4c26-816f-67b65ce63a0b%2F01zwtpb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5-46 Find the limit. Use l'Hospital's Rule where appropriate. If
there is a more elementary method, consider using it. If l'Hospital's
Rule doesn't apply, explain why.
5. lim
7.
x→1 X
9. lim
t-0
COS X
lim
x-> (π/2)* 1 sin x
11. lim
x²
2
13. lim
x →0+
15. lim
x-0
17. lim
t→0
19. lim
x-0
- X
-
t³
In x
√x
In x
X
1
√1 + 2x
5¹ - 3¹
t
X
2
-
X
- X
√1 - 4x
6. lim
x → 1 xb
8. lim
sin 4x
x→0 tan 5x
10. lim
t->0
12. lim
0→TT/2
14. lim
x →∞0
a
X 1
16. lim
18. lim
U→∞0
20. lim
x->0
-
31
1
-
t
X
In x
x=1_sin πχ
1
(In x)²
csc 0
e ¹/10
u³
sin 0
COs mx
x²
COS nx
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