to = Gim En Gim n-sao NOW P C Em) = 1-0 ete-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Attached below is a proof for continuity of a probability function.
Please explain the part from the proof marked by red how r-r/n,r became r-(r-r/n).
Please also explain the part from the proof marked blue how the limit [r-r/n, r] became [r,r] = {r}
![Define a sequence {E;} where E, = |r – -,r| where n is positive integer. Find P({r}) for any
rE [0,1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F927a1716-bf67-4d2e-8ffa-7c332969740c%2Fc305d4b5-63aa-42ae-a421-6d1e26808277%2Fypcresx_processed.png&w=3840&q=75)
Transcribed Image Text:Define a sequence {E;} where E, = |r – -,r| where n is positive integer. Find P({r}) for any
rE [0,1]
![P (lGm En) =im
PC En)
AS we know
mEzt
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Step 2
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En
n-soo
bim
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P C En)=
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Transcribed Image Text:P (lGm En) =im
PC En)
AS we know
mEzt
NOW
Step 2
fo?= Gim
En
n-soo
bim
n-s00
NolW
P C En)=
ete-
1.
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