I Show that every open sart in a motric union of open balls. л spack :)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I Show that every opon sat in a motric
c
union of open balls.
я расс ()
S
Transcribed Image Text:I Show that every opon sat in a motric c union of open balls. я расс () S
Expert Solution
Step 1 Introduction

A set S is open iff every element of S is an interior point of S,

s is an interior point of S if there exists a neighbourhood of s contained in S

These two definitions are used for the proof

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