Limits That Fail toa table of values for the function and use the result to explainwhy the limit does not exist.43|x|21. limx→0 1 + el/x22. limx→0 x2Finding a Limit Graphically In Exercises23-30, use the graph to find the limit (if it exists).If the limit does not exist, explain why.23. lim (4 – x)24. lim sec xx→3x→0yy432+1-1325. lim f(x)26. lim f(x)1x→1f(x) :(4-x, x # 2l0,x = 2(x2 + 3, x # 1f(x) = \2,x = 16.0.13.2+1-2413.4

21. limx→041+e1x22. limx→03xx2 Note: Multiple questions are given, we are answered with only one…

Answered: Limits a table of values for the…

Limits a table of values for the function and use the result to explain why the limit does not exist. 4 3x 21. lim x01 + el/x 22. lim x0 x2

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.2: Domain And Range

Problem 57SE: Suppose the range of a function fis [5,8] . What is the range of |f(x)| ?

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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

Limits That Fail to
a table of values for the function and use the result to explain
why the limit does not exist.
4
3|x|
21. lim
x→0 1 + el/x
22. lim
x→0 x2
Finding a Limit Graphically In Exercises
23-30, use the graph to find the limit (if it exists).
If the limit does not exist, explain why.
23. lim (4 – x)
24. lim sec x
x→3
x→0
y
y
4
3
2+
1-
1
3
25. lim f(x)
26. lim f(x)
1
x→1
f(x) :
(4-x, x # 2
l0,
x = 2
(x2 + 3, x # 1
f(x) = \2,
x = 1
6.
0.1
3.
2+
1
-2
4
1
3.
4

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