In Exercises 1-14, find the limits. x2 + 1 In 1. lim (x- 2x2 + 1) 2. lim x-2 3x2- 2x + 5 r-2 25 3. lim V1 - 2r 4. lim V9 - x² x5 1 2+x 2x2 + 3 6. lim xtoo 5x2 +7 5. lim x4 + x3 sin 2x 7. lim xt0o 12x + 128 8. lim x0 4x- x csc x + 1 9. lim 10. lim e* sin x X Csc x 11. lim int (2x – 1) -7/2+ 12. lim int (2x - 1) x-7/2 - x + sin x 13. lim e cos x 14. lim x00 X + cos x In Exercises 15-20, determine whether the limit exists on the basis of the graph of y = f(x). The domain of f is the set of real numbers. 26 15. lim f(x) 16. lim f(x) x>c+ 17. lim f(x) 18. lim f(x) 19. lim f(x) 20. lim f(x)

In Exercises 1-14, find the limits. x2 + 1 In 1. lim (x- 2x2 + 1) 2. lim x-2 3x2- 2x + 5 r-2 25 3. lim V1 - 2r 4. lim V9 - x² x5 1 2+x 2x2 + 3 6. lim xtoo 5x2 +7 5. lim x4 + x3 sin 2x 7. lim xt0o 12x + 128 8. lim x0 4x- x csc x + 1 9. lim 10. lim e* sin x X Csc x 11. lim int (2x – 1) -7/2+ 12. lim int (2x - 1) x-7/2 - x + sin x 13. lim e cos x 14. lim x00 X + cos x In Exercises 15-20, determine whether the limit exists on the basis of the graph of y = f(x). The domain of f is the set of real numbers. 26 15. lim f(x) 16. lim f(x) x>c+ 17. lim f(x) 18. lim f(x) 19. lim f(x) 20. lim f(x)

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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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

For 9 and 13 I’m struggling with the trig involved in limits

aut
The collection of exercises marked in red could be used as a chapter
21
test.
23
In Exercises 1-14, find the limits.
x2 + 1
In
1. lim (x- 2x2 + 1)
2. lim
x-2 3x2- 2x + 5
25
3. lim V1 - 2r
4. lim V9 - x²
x5
r4
1
1
2 + x
2
2x2 + 3
6. lim
xtoo 5x2 + 7
5. lim
x4 + x3
sin 2x
7. lim
xt0o 12x + 128
8. lim
x0 4x-
x csc x + 1
9. lim
10. lim e* sin x
x csc x
11. lim int (2x – 1)
x7/2+
12. lim int (2x – 1)
x→7/2
x + sin x
13. lim e cos x
14. lim
x>0 X + cos x
In Exercises 15-20, determine whether the limit exists on the basis
of the graph of y = f(x). The domain of f is the set of real
numbers.
26
15. lim f(x)
16. lim f(x)
17. lim f(x)
18. lim f(x)
19. lim f(x)
20. lim f(x)
y = f(x)

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