x² – 4x + 4 9. lim x' + 5x² – 14x b. as x→2 a. as x-0 x² + x x* + 2xª + x³ 10. lim- a. as x→0 b. as x→-1 1 - Vĩ r? - a? 11. lim I- 1- r 12. lim 1-ax - at (x + h)? – x? 13. lim h-0 (x + h)? – x? h 14. lim 2 + x 15. lim 16. lim- (2 + x) – 8 x/3 - 1 16 17. lim 1-i Vx - 1 18. lim I-64 Vx tan (2x) 20. lim cscx 19. lim X-0 tan (Tx) 21. lim sin (+ sin x 22. lim cos? (x – tan x) cos 2r - 1 sin x &r 23. lim I-0 3 sin r - x 24. lim 25. lim In (t – 3) 1-3+ 26. lim 2 In (2 – Vi) 2ez 28. lim 0* elz + 1 27. lim Vēcos (=/@) 0-0*

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 8E
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Question

Finding Limits
In Exercises 9–28, find the limit or explain why it does not exist.

x² – 4x + 4
9. lim
x' + 5x² – 14x
b. as x→2
a. as x-0
x² + x
x* + 2xª + x³
10. lim-
a. as x→0
b. as x→-1
1 - Vĩ
r? - a?
11. lim
I- 1- r
12. lim
1-ax - at
(x + h)? – x?
13. lim
h-0
(x + h)? – x?
h
14. lim
Transcribed Image Text:x² – 4x + 4 9. lim x' + 5x² – 14x b. as x→2 a. as x-0 x² + x x* + 2xª + x³ 10. lim- a. as x→0 b. as x→-1 1 - Vĩ r? - a? 11. lim I- 1- r 12. lim 1-ax - at (x + h)? – x? 13. lim h-0 (x + h)? – x? h 14. lim
2 + x
15. lim
16. lim-
(2 + x) – 8
x/3 - 1
16
17. lim
1-i Vx - 1
18. lim
I-64 Vx
tan (2x)
20. lim cscx
19. lim
X-0 tan (Tx)
21. lim sin (+ sin x
22. lim cos? (x – tan x)
cos 2r - 1
sin x
&r
23. lim
I-0 3 sin r - x
24. lim
25. lim In (t – 3)
1-3+
26. lim 2 In (2 – Vi)
2ez
28. lim
0* elz + 1
27. lim Vēcos (=/@)
0-0*
Transcribed Image Text:2 + x 15. lim 16. lim- (2 + x) – 8 x/3 - 1 16 17. lim 1-i Vx - 1 18. lim I-64 Vx tan (2x) 20. lim cscx 19. lim X-0 tan (Tx) 21. lim sin (+ sin x 22. lim cos? (x – tan x) cos 2r - 1 sin x &r 23. lim I-0 3 sin r - x 24. lim 25. lim In (t – 3) 1-3+ 26. lim 2 In (2 – Vi) 2ez 28. lim 0* elz + 1 27. lim Vēcos (=/@) 0-0*
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage