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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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]
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
NOW
Step 2
fo?= Gim
En
n-soo
bim
n-s00
NolW
P C En)=
ete-
1.
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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