In Exercises 13–22, find the limit of each rational function (a) as x→ 00 and (b) as x -oo. 2x + 3 5x + 7 2r³ + 7 x³ - x? + x + 7 13. f(x) = 14. f(x) 3x + 7 15. f(x) 16. f(x) : x? - 2 9x4 + x 7x3 x3 - 3x2 + 6r 17. h(x) 18. h(x) 2r + 5x2 – x + 6 x³ + 7x² – 2 x2 - x +1 10x + x4 + 31 19. g(x) 20. g(x) 3x + 5x² – 1 5x8 – 2r3 + 9 21. f(x) 22. h(x) 3 + x - 4x 6r3 – 7x + 3
In Exercises 13–22, find the limit of each rational function (a) as x→ 00 and (b) as x -oo. 2x + 3 5x + 7 2r³ + 7 x³ - x? + x + 7 13. f(x) = 14. f(x) 3x + 7 15. f(x) 16. f(x) : x? - 2 9x4 + x 7x3 x3 - 3x2 + 6r 17. h(x) 18. h(x) 2r + 5x2 – x + 6 x³ + 7x² – 2 x2 - x +1 10x + x4 + 31 19. g(x) 20. g(x) 3x + 5x² – 1 5x8 – 2r3 + 9 21. f(x) 22. h(x) 3 + x - 4x 6r3 – 7x + 3
Calculus: Early Transcendentals
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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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Limits of Rational Functions
![In Exercises 13–22, find the limit of each rational function (a) as
x→ 00 and (b) as x -oo.
2x + 3
5x + 7
2r³ + 7
x³ - x? + x + 7
13. f(x) =
14. f(x)
3x + 7
15. f(x)
16. f(x) :
x? - 2
9x4 + x
7x3
x3 - 3x2 + 6r
17. h(x)
18. h(x)
2r + 5x2 – x + 6
x³ + 7x² – 2
x2 - x +1
10x + x4 + 31
19. g(x)
20. g(x)
3x + 5x² – 1
5x8 – 2r3 + 9
21. f(x)
22. h(x)
3 + x - 4x
6r3 – 7x + 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22f4d7a5-a158-4cf2-92ff-9bd3c2f28f52%2F3a78db3d-7757-4dd5-bb4f-52ffbd704343%2Fw80579.png&w=3840&q=75)
Transcribed Image Text:In Exercises 13–22, find the limit of each rational function (a) as
x→ 00 and (b) as x -oo.
2x + 3
5x + 7
2r³ + 7
x³ - x? + x + 7
13. f(x) =
14. f(x)
3x + 7
15. f(x)
16. f(x) :
x? - 2
9x4 + x
7x3
x3 - 3x2 + 6r
17. h(x)
18. h(x)
2r + 5x2 – x + 6
x³ + 7x² – 2
x2 - x +1
10x + x4 + 31
19. g(x)
20. g(x)
3x + 5x² – 1
5x8 – 2r3 + 9
21. f(x)
22. h(x)
3 + x - 4x
6r3 – 7x + 3
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