28 Nov 2021
Problem 49
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 
.
Therefore, 
.
Sketch the curves 
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 
)
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
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- Problem 10
- Problem 11
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- Problem 26
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- Problem 28
- Problem 29
- Problem 30
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- Problem 38
- Problem 39
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- Problem 44
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- Problem 48
- Problem 49
- Problem 50
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- Problem 53
- Problem 54
- Problem 55a
- Problem 55b
- Problem 55c
- Problem 56a
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- Problem 56c
- Problem 57a
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- Problem 57c
- Problem 57d
- Problem 58a
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- Problem 58c
- Problem 58d
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- Problem 65
- Problem 66a
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- 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