Chapter3: Functions
Section3.5: Transformation Of Functions
Problem 3SE: When examining the formula of a function that is the result of multiple transformations, how can you...
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Question
![C) y
X
3
O lim
X
O lim
D) y
lim
I→1 x -
x 1|
X - 1
0
sin(x)
X
-1
I 1 x
|x-1|
|x-1|
I 1 X 1
O lim
x 1|
sin r
x
-2
0.4546
sin
lim
I→0 x
sin a
lim
I-0 x
sin a
I 0 x
-
-5
DNE
U
DNE
UND
-1
UND
-1
0.9
-1
-0.5
0.99
-1
-0.1
0.8415 0.9589 0.9983
1
und 1
0
1.01
und
0.1
0.9983
1.1
1
0.5
0.9589
1.5
1
1
0.8415
2
1
2
0.4546](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9de62490-29a1-4126-ad53-0c4c5fc3af72%2F9833a416-08b9-4d9e-9296-ad97d5bf1e5a%2Flgci6sd_processed.png&w=3840&q=75)
Transcribed Image Text:C) y
X
3
O lim
X
O lim
D) y
lim
I→1 x -
x 1|
X - 1
0
sin(x)
X
-1
I 1 x
|x-1|
|x-1|
I 1 X 1
O lim
x 1|
sin r
x
-2
0.4546
sin
lim
I→0 x
sin a
lim
I-0 x
sin a
I 0 x
-
-5
DNE
U
DNE
UND
-1
UND
-1
0.9
-1
-0.5
0.99
-1
-0.1
0.8415 0.9589 0.9983
1
und 1
0
1.01
und
0.1
0.9983
1.1
1
0.5
0.9589
1.5
1
1
0.8415
2
1
2
0.4546
![In the following problems you will find the limit of a function numerically (i.e. from a table). Find the
value of the limit from the table of functional values in the table. If the limit does not exist, state this.
1
A) y
x
cost-1
X
=
X
lim
I→0
lim
I→0
B) y
lim
I→0
lim
I→0
lim
I-0
cos x
lim
I→0
x
-1
0.4597
COS I
x
COS I
I
COS I
I
x
-1
1
0.6321
e² 1
x
e² 1
x
et 1
x
1
1
1
||
=
-0.5
0.2448
=
DNE
UND
-0.5
0.7869
DNE
UND
-0.1
0.0500
-0.1
0.9516
-0.01
0.0040
-0.01
0
0.01
0
und -0.0050 -0.0500
0.01
0.1
0.9950 und 1.0050
0.1
1.0517
0.5
-0.2448
0.5
1.2974
1
-0.4597
1
1.7183](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9de62490-29a1-4126-ad53-0c4c5fc3af72%2F9833a416-08b9-4d9e-9296-ad97d5bf1e5a%2Fypj0re9_processed.png&w=3840&q=75)
Transcribed Image Text:In the following problems you will find the limit of a function numerically (i.e. from a table). Find the
value of the limit from the table of functional values in the table. If the limit does not exist, state this.
1
A) y
x
cost-1
X
=
X
lim
I→0
lim
I→0
B) y
lim
I→0
lim
I→0
lim
I-0
cos x
lim
I→0
x
-1
0.4597
COS I
x
COS I
I
COS I
I
x
-1
1
0.6321
e² 1
x
e² 1
x
et 1
x
1
1
1
||
=
-0.5
0.2448
=
DNE
UND
-0.5
0.7869
DNE
UND
-0.1
0.0500
-0.1
0.9516
-0.01
0.0040
-0.01
0
0.01
0
und -0.0050 -0.0500
0.01
0.1
0.9950 und 1.0050
0.1
1.0517
0.5
-0.2448
0.5
1.2974
1
-0.4597
1
1.7183
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