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?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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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
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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