17,21,25,29,33,37,41,45,49 11. lim x1.54x0.5 x-4x15-2x x-1 12. lim [Hint: Choose a window whose x-values are centered at the limiting x-value.] 13-32. Find the following limits without using a graphing calculator or making tables. 13. lim (4x2 10x+2) x-3 3x²-5x x-5 7x-10 15. lim 17. lim V2 x-3 19. lim [(t+5)/2] 25 37-40. For each piecewise linear function, find: a. lim f(x) b. lim f(x) c. lim f(x) = -x √3- if x ≤4 37. f(x) 10 2x if x>4 38. f(x) x 14. lim x-72x- 7 39. f(x) = 16. lim P²++-4 8+2Vq 9-98-2√ 18. lim 20. lim (s3/23s1/2) 21. lim (5x3+2x²h xh²) 22. lim (2x² + 4xh+h²) h→0 - - - x √5- 2x-5 √2- if x < 4 if x ≥ 4 -x if x ≤4 x-6 if x>4 (2-x if x < 4 40. f(x)=2x-10 if x≥4 41-44. For each function, find: a. lim f(x) 1-0 41. f(x) = |x| b. lim f(x) c. lim f(x) x10° 42. f(x) = -|x| |x| |x| 43. f(x)= 44. f(x) = x x h→0 x²-4 23. lim x-1 24. lim x 2 x 2 x +3 25. lim 26. lim x-3x²+8x+15 11-4 x²+9x+20 +4 45-52. Use limits involving ± to describe the asymptotic behavior of each function from its graph. 3x³-3x² 6x x² - x 45. f(x) 1 3-x 1 46. f(x)= 27. lim 28. lim (x+3)² 1² + x x10x²+x 29. lim h-0 2xh-3h² h 30. lim 5x+h-9xh² h 4x²h + xh² - h³ x²h - xh² + h³ 31. lim 32. lim h h 33-36. For each piecewise linear function f(x) graphed below, find: a. lim f(x) x-2° b. lim f(x) c. lim f(x) 33. y 34. у 4 4 3 3 2 1 35. 4 1 1 2 3 4 3 2 1 2 1 3 4 36. 4 3 1 1 2 3 4 x 1 2 3 4 1 47. f(x) 48. f(x) = x 49. f(x) 2x+1 x-1 50. f(x)= x-3 x+3 x

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 4ECP
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17,21,25,29,33,37,41,45,49
11. lim
x1.54x0.5
x-4x15-2x
x-1
12. lim
[Hint: Choose a window whose x-values are centered
at the limiting x-value.]
13-32. Find the following limits without using a graphing
calculator or making tables.
13. lim (4x2 10x+2)
x-3
3x²-5x
x-5 7x-10
15. lim
17. lim V2
x-3
19. lim [(t+5)/2]
25
37-40. For each piecewise linear function, find:
a. lim f(x) b. lim f(x) c. lim f(x)
=
-x
√3-
if x ≤4
37. f(x) 10 2x if x>4
38. f(x)
x
14. lim
x-72x-
7
39. f(x)
=
16. lim P²++-4
8+2Vq
9-98-2√
18. lim
20. lim (s3/23s1/2)
21. lim (5x3+2x²h xh²) 22. lim (2x² + 4xh+h²)
h→0
-
-
- x
√5-
2x-5
√2-
if x < 4
if x ≥ 4
-x if x ≤4
x-6 if x>4
(2-x
if x < 4
40. f(x)=2x-10 if x≥4
41-44. For each function, find:
a. lim f(x)
1-0
41. f(x) = |x|
b. lim f(x) c. lim f(x)
x10°
42. f(x) = -|x|
|x|
|x|
43. f(x)=
44. f(x) =
x
x
h→0
x²-4
23. lim
x-1
24. lim
x 2 x 2
x +3
25. lim
26. lim
x-3x²+8x+15
11-4
x²+9x+20
+4
45-52. Use limits involving ± to describe the
asymptotic behavior of each function from its graph.
3x³-3x²
6x
x²
- x
45. f(x)
1
3-x
1
46. f(x)=
27. lim
28. lim
(x+3)²
1² + x
x10x²+x
29. lim
h-0
2xh-3h²
h
30. lim
5x+h-9xh²
h
4x²h + xh² - h³
x²h - xh² + h³
31. lim
32. lim
h
h
33-36. For each piecewise linear function f(x) graphed
below, find:
a. lim f(x)
x-2°
b. lim f(x) c. lim f(x)
33. y
34.
у
4
4
3
3
2
1
35.
4
1
1 2 3 4
3
2
1
2
1
3
4
36.
4
3
1
1 2 3 4
x
1
2 3 4
1
47. f(x)
48. f(x)
=
x
49. f(x)
2x+1
x-1
50. f(x)=
x-3
x+3
x
Transcribed Image Text:17,21,25,29,33,37,41,45,49 11. lim x1.54x0.5 x-4x15-2x x-1 12. lim [Hint: Choose a window whose x-values are centered at the limiting x-value.] 13-32. Find the following limits without using a graphing calculator or making tables. 13. lim (4x2 10x+2) x-3 3x²-5x x-5 7x-10 15. lim 17. lim V2 x-3 19. lim [(t+5)/2] 25 37-40. For each piecewise linear function, find: a. lim f(x) b. lim f(x) c. lim f(x) = -x √3- if x ≤4 37. f(x) 10 2x if x>4 38. f(x) x 14. lim x-72x- 7 39. f(x) = 16. lim P²++-4 8+2Vq 9-98-2√ 18. lim 20. lim (s3/23s1/2) 21. lim (5x3+2x²h xh²) 22. lim (2x² + 4xh+h²) h→0 - - - x √5- 2x-5 √2- if x < 4 if x ≥ 4 -x if x ≤4 x-6 if x>4 (2-x if x < 4 40. f(x)=2x-10 if x≥4 41-44. For each function, find: a. lim f(x) 1-0 41. f(x) = |x| b. lim f(x) c. lim f(x) x10° 42. f(x) = -|x| |x| |x| 43. f(x)= 44. f(x) = x x h→0 x²-4 23. lim x-1 24. lim x 2 x 2 x +3 25. lim 26. lim x-3x²+8x+15 11-4 x²+9x+20 +4 45-52. Use limits involving ± to describe the asymptotic behavior of each function from its graph. 3x³-3x² 6x x² - x 45. f(x) 1 3-x 1 46. f(x)= 27. lim 28. lim (x+3)² 1² + x x10x²+x 29. lim h-0 2xh-3h² h 30. lim 5x+h-9xh² h 4x²h + xh² - h³ x²h - xh² + h³ 31. lim 32. lim h h 33-36. For each piecewise linear function f(x) graphed below, find: a. lim f(x) x-2° b. lim f(x) c. lim f(x) 33. y 34. у 4 4 3 3 2 1 35. 4 1 1 2 3 4 3 2 1 2 1 3 4 36. 4 3 1 1 2 3 4 x 1 2 3 4 1 47. f(x) 48. f(x) = x 49. f(x) 2x+1 x-1 50. f(x)= x-3 x+3 x
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