Let (x, d) be a metric space und ACXnonempty set. Define f:X → R,fix)= inf dex,a).be ashow that:i. R is continuousii x eA if und only if fas= a

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4. Let (x, d) be a metric space and ACX be nonempty set. Define f:X → IR, fix)= inf dex,a). aE A show that: i. R is continuous i. x eA if nd only if faw=a

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.2: Inner Product Spaces

Problem 94E

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Let (x, d) be a metric space und ACX
nonempty set. Define f:X → R,
fix)= inf dex,a).
be a
show that:
i. R is continuous
ii x eA if und only if fas= a

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