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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:Ani
then
Baire's theorem: (statement).
gb <S> be
∞
14
a
sequence
Gn+ $. m bact,
we have to determine wheather the set of
Note that
Now
integeres is nowhere dense or not.
ds dense, open sets in R,
Sn is dense in R.
B said to be
closure of A is empty;
int (A) =
.:| intezers
n=1
a subset A of a topological space X
nowhere dense in X
if the interior of
arce
#bearty, clearly, here,
closure do z
of 2 Contains infinitely many points.
But, interion of an empty set is also an empty sel.
1-4 (=) ²° = d.
ive (A) = $
=
Ž= since
nowhere dense in IR.
no neighbour
(Proved)
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