Evaluate the following limit or explain why it does not exist. 1 X lim (x + cos x)* x-0 Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. O A. 1 1 L = lim In (x + cos x) is finite and therefore lim (x + cos x) can be written as the expression x-0 x-0 OB. 1 This implies that lim (x + cos x)* = (Type an exact answer in simplified form.) x→0 The limit does not exist because it has the indeterminate form 0° which cannot be written in the form (Type an expression using L as the variable.) 0 ∞ ∞ olc O C. The limit does not exist because it has the indeterminate form 100 which cannot be written in the form or so that l'Hôpital's rule can be applied. 0 olo 0 or 88 O D. 0 ∞ The limit does not exist because it has the indeterminate form ∞o which cannot be written in the form or 0 ∞ so that l'Hôpital's rule can be applied. so that l'Hôpital's rule can be applied.
Evaluate the following limit or explain why it does not exist. 1 X lim (x + cos x)* x-0 Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. O A. 1 1 L = lim In (x + cos x) is finite and therefore lim (x + cos x) can be written as the expression x-0 x-0 OB. 1 This implies that lim (x + cos x)* = (Type an exact answer in simplified form.) x→0 The limit does not exist because it has the indeterminate form 0° which cannot be written in the form (Type an expression using L as the variable.) 0 ∞ ∞ olc O C. The limit does not exist because it has the indeterminate form 100 which cannot be written in the form or so that l'Hôpital's rule can be applied. 0 olo 0 or 88 O D. 0 ∞ The limit does not exist because it has the indeterminate form ∞o which cannot be written in the form or 0 ∞ so that l'Hôpital's rule can be applied. so that l'Hôpital's rule can be applied.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.2: Continuity
Problem 32E
Related questions
Question
![Evaluate the following limit or explain why it does not exist.
X
lim (x + cos x)
X→0
Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.
D.
1
1
X
L = lim - In (x + cos x) is finite and therefore lim (x + cos x) can be written as the expression (Type an expression using L as the variable.)
X
X→0
X→0
1
X
This implies that lim (x + cos x) =
X→0
(Type an exact answer in simplified form.)
O B.
The limit does not exist because it has the indeterminate form 0° which cannot be written in the form
The limit does not exist because it has the indeterminate form 100 which cannot be written in the form
olo
olo
or
0
The limit does not exist because it has the indeterminate form ∞ which cannot be written in the form
0
818
or
or
88
8 8
so that l'Hôpital's rule can be applied.
so that l'Hôpital's rule can be applied.
so that l'Hôpital's rule can be applied.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b1aac13-c22c-4e9c-9b11-d4ff848414b3%2F3436e5b2-62b8-4a3f-83dd-04b5280d9595%2Fnuyazs_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate the following limit or explain why it does not exist.
X
lim (x + cos x)
X→0
Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice.
D.
1
1
X
L = lim - In (x + cos x) is finite and therefore lim (x + cos x) can be written as the expression (Type an expression using L as the variable.)
X
X→0
X→0
1
X
This implies that lim (x + cos x) =
X→0
(Type an exact answer in simplified form.)
O B.
The limit does not exist because it has the indeterminate form 0° which cannot be written in the form
The limit does not exist because it has the indeterminate form 100 which cannot be written in the form
olo
olo
or
0
The limit does not exist because it has the indeterminate form ∞ which cannot be written in the form
0
818
or
or
88
8 8
so that l'Hôpital's rule can be applied.
so that l'Hôpital's rule can be applied.
so that l'Hôpital's rule can be applied.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![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,
![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,