1for tutorial help and worked-out solutions tonumbexerciseS.In(x + 1)10. limx→0- 0.1-0.01-0.0010.0010.010.1f(x)?Estimating a Limit Numerically In Exercises 11-20,create a table of values for the function and use the result toestimate the limit. Use a graphing utility to graph the functionto confirm your result.2x + 4X -11. limx→1 x + x – 612. limx→-4 x + 9x + 20x4 1x3 + 2713. limx→1 x614. limx→-3 X + 31V10 – x – 4[x/(x + 1)] – (2/3)15. lim16. limx + 6x - 2x→-6x→2sin 2xtan x17. lim18. limx→0 tan 2xIn x - In 21 - x19. limx→220. limx→1 e - e*X - 2Limits That Fail to Exist In Exercises 21 and 22, createa table of values for the function and use the result to explainwhy the limit does not exist.3|x|22. limx→0 x421. limx→0 1 + e!/x

Answered: Image /qna-images/answer/47cc530b-00ab-42ed-86e5-3cdfc4fe445e.jpg

Answered: In(x + 1) 10. lim x→0 - 0.1 - 0.01…

Math

Calculus

In(x + 1) 10. lim x→0 - 0.1 - 0.01 -0.001 0.001 0.01 0.1 - f(x)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 20E

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

1for tutorial help and worked-out solutions to
numb
exerciseS.
In(x + 1)
10. lim
x→0
- 0.1
-0.01
-0.001
0.001
0.01
0.1
f(x)
?
Estimating a Limit Numerically In Exercises 11-20,
create a table of values for the function and use the result to
estimate the limit. Use a graphing utility to graph the function
to confirm your result.
2
x + 4
X -
11. lim
x→1 x + x – 6
12. lim
x→-4 x + 9x + 20
x4 1
x3 + 27
13. lim
x→1 x6
14. lim
x→-3 X + 3
1
V10 – x – 4
[x/(x + 1)] – (2/3)
15. lim
16. lim
x + 6
x - 2
x→-6
x→2
sin 2x
tan x
17. lim
18. lim
x→0 tan 2x
In x - In 2
1 - x
19. lim
x→2
20. lim
x→1 e - e*
X - 2
Limits That Fail to Exist In Exercises 21 and 22, create
a table of values for the function and use the result to explain
why the limit does not exist.
3|x|
22. lim
x→0 x
4
21. lim
x→0 1 + e!/x

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