Textbook ExpertVerified Tutor
3 Jan 2022
Given information
We have to prove 
if 
and that 
exists
Step-by-step explanation
Step 1.
Let's assume that and that exists
and that existsLet 
and 
and Then using the Integration by Parts, we get
Now let's assume 
for some constant 
for some constant Then we get
Upon comparing equation 
and 
, we get
and , we get
Since 
and 
are both squared quantity and must be positive, we can say that 
.
and are both squared quantity and must be positive, we can say that .A function which satisfies these properties for some is 
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CALCULUS:EARLY TRANSCENDENTALS
4 Edition,
Rogawski
ISBN: 9781319050740
Solutions
Chapter
Section
- Problem 1
- Problem 1
- Problem 2
- Problem 2
- Problem 3
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 44
- Problem 45
- Problem 46
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 50a
- Problem 50b
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57
- Problem 58
- Problem 59
- Problem 60a
- Problem 60b
- Problem 61
- Problem 62
- Problem 63
- Problem 64
- Problem 65
- Problem 66
- Problem 67
- Problem 68
- Problem 69
- Problem 70
- Problem 71
- Problem 72a
- Problem 72b
- Problem 73
- Problem 74
- Problem 75
- Problem 76
- Problem 77
- Problem 78
- Problem 79
- Problem 80
- Problem 81
- Problem 82
- Problem 83
- Problem 84
- Problem 85
- Problem 86
- Problem 87
- Problem 88
- Problem 89
- Problem 90
- Problem 91
- Problem 92
- Problem 93a
- Problem 93b
- Problem 94
- Problem 95
- Problem 96a
- Problem 96b
- Problem 96c
- Problem 96d
- Problem 96e
- Problem 97a
- Problem 97b
- Problem 97c