lim inf A, U lim in ninf{A, U B} n inf{A, n B} %3D = lim inf A, n lim in + A, B, → B A, U B, → AUB
lim inf A, U lim in ninf{A, U B} n inf{A, n B} %3D = lim inf A, n lim in + A, B, → B A, U B, → AUB
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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Transcribed Image Text:2. Which of the following statements are (not) true?
lim sup{A, U B,}
lim sup A, U lim sup B, :
!!
lim sup{A, n B,,}
lim sup A, n lim sup B, ;
lim inf{A, U B,}
lim inf A, U lim inf B;
%3D
n 00
lim inf{A, n B,}
= lim inf A, n lim inf B, :
A, + A, B, → B= A, U B,n AUB
as
An + A. B, + B > A, n Bn AN B
n + 00.
as
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