10. lim 1-0 e³1 - 1 t

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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Number10
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
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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