Show that Hint: Use to obtain In[|x|] √√2/T. 1 - cos(sx) x² 8 1 - cos" x x² lim n-√√n 00 2 π dx |s| = In[x] ²/7 [0² - dx. π The readers may observe that the limit of In[|x|²¹] n₁ as n→→∞o, exists when is a positive integer or 1/2. Any other example?
Show that Hint: Use to obtain In[|x|] √√2/T. 1 - cos(sx) x² 8 1 - cos" x x² lim n-√√n 00 2 π dx |s| = In[x] ²/7 [0² - dx. π The readers may observe that the limit of In[|x|²¹] n₁ as n→→∞o, exists when is a positive integer or 1/2. Any other example?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Show that
Hint: Use
to obtain
lim
n→∞0
In[|x|]
√√n
√2/.
1- cos(sx)
x²
1 - cos" x
x²
=
2
|s|==
л Jo
²7/ 50 0
2
In[|x|]
1, [1X|) = ² / 200
dx.
π
The readers may observe that the limit of
In[|x|²¹]
as n→ ∞o, exists when is a positive integer or 1/2. Any other example?
dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25bf4691-7e3a-4c14-be0e-69758f750a69%2F616696e5-a49f-42d1-85dd-9ceee6631c4e%2Fquqe1q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Show that
Hint: Use
to obtain
lim
n→∞0
In[|x|]
√√n
√2/.
1- cos(sx)
x²
1 - cos" x
x²
=
2
|s|==
л Jo
²7/ 50 0
2
In[|x|]
1, [1X|) = ² / 200
dx.
π
The readers may observe that the limit of
In[|x|²¹]
as n→ ∞o, exists when is a positive integer or 1/2. Any other example?
dx
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