1. Find the interior and the boundary for each of the following sets. Classify it as open, closed, or neither open nor closed. Is it a compact subset of R? a. A = n(-2-1+4) NEN intA= bdA= A is closed / open / neither closed nor open A is compact / not compact b. B={(-1)"+:neN} intB bdB B is closed / open / neither closed nor open B is compact / not compact c. C = {x € Q+ : a² ≤ 2} intC= bdC= C is closed / open / neither closed nor open C is compact / not compact

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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1. Find the interior and the boundary for each of the following sets. Classify it as open, closed, or neither
open nor closed. Is it a compact subset of R?
a. A= (-2-1,1 + ²)
intA=
bdA=
A is closed / open / neither closed nor open
A is compact / not compact
nЄN
b. B = {(-1)" +2:n €N}
intB=
bdB =
B is closed / open / neither closed nor open
B is compact / not compact
c. C = {x € Q+ : x² <2}
intC
bdC=
C is closed / open / neither closed nor open
C is compact / not compact
Transcribed Image Text:1. Find the interior and the boundary for each of the following sets. Classify it as open, closed, or neither open nor closed. Is it a compact subset of R? a. A= (-2-1,1 + ²) intA= bdA= A is closed / open / neither closed nor open A is compact / not compact nЄN b. B = {(-1)" +2:n €N} intB= bdB = B is closed / open / neither closed nor open B is compact / not compact c. C = {x € Q+ : x² <2} intC bdC= C is closed / open / neither closed nor open C is compact / not compact
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