=) y II 131 Olim x 1 z 1 0 -1 lim 2-1 x |x-1| |x-1| x - |x-1| lim z 1 x- - 1 -5 -1 DNE UND 0.9 -1 0.99 -1 1 und 1.01 1 1.1 1.5 1 2 1

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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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
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
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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