Đ A is a closed set.
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
How do you solve the second question?
Transcribed Image Text:Let ACR.
• We say that is an interior point of A if for some e > 0, Ve (x)C R. The set of all interior points of A will be
denoted by A°.
• We say that x is a boundary point of A if for every e > 0, Ve (x) N A#Ø and Ve (x)N A° Ø. The set of
all boundary points of A will be denoted by aA.
Show that
A = A° U ÐA.
ĐA is a closed set.
Expert Solution
Step 1
Here we use the result intersection of two closed set is closed.
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