28 Nov 2021
Problem 50
Page 298
Section 4.5: Indeterminate Forms and I' Hospital's Rule
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
28 Nov 2021
Given information
Note that given the functions, 
.
Step-by-step explanation
Step 1.
Differentiate both sides with respect to .
both sides with respect to .Therefore, 
.
.Sketch the curves 
and 
.
and .On the same set of axis near 
.
.Observe that these ratios have the same limit as 
so this verifies L'Hospital rule ( which is 
)
so this verifies L'Hospital rule ( which is )
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 1d
- Problem 1e
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 3a
- Problem 3b
- Problem 3c
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 4d
- Problem 4e
- Problem 4f
- 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 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55a
- Problem 55b
- Problem 55c
- Problem 56a
- Problem 56b
- Problem 56c
- Problem 57a
- Problem 57b
- Problem 57c
- Problem 57d
- Problem 58a
- Problem 58b
- Problem 58c
- Problem 58d
- Problem 59
- Problem 60
- Problem 61
- Problem 62
- Problem 63
- Problem 64
- Problem 65
- Problem 66a
- Problem 66b
- Problem 67
- Problem 68a
- Problem 68b
- Problem 69
- Problem 70
- Problem 71
- Problem 72
- Problem 73
- Problem 74
- Problem 75
- Problem 76a
- Problem 76b
- Problem 76c