Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
Related questions
Question
![Problem 2.
Show that as x → 00,
1+
→ e.
In(1+ h)
In(1 + h) – In 1
= lim
h→0
d
Hint: 1 =
dx
In x
= lim
h→0
= lim x In(1+=).
x=1
h
h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1aaff698-d6d9-432c-a8ab-5a03f6066bc1%2F1eeb3691-40b0-44dc-9a5c-28995b65f94d%2Fr2m8qqo_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 2.
Show that as x → 00,
1+
→ e.
In(1+ h)
In(1 + h) – In 1
= lim
h→0
d
Hint: 1 =
dx
In x
= lim
h→0
= lim x In(1+=).
x=1
h
h
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
We are asked to prove that given
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,