Problem 50. Let H and K be two point sets. Show the following two propositions are true. • If p is an accumulation point of HNK, then p is an accumulation point of both H and K. • If p is an accumulation point of H U K, then p is an accumulation point of H or p is an accumulation point of K.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
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Problem 50. Let H and K be two point sets. Show the following two propositions are true.
• If p is an accumulation point of HNK, then p is an accumulation point of both H and K.
• If p is an accumulation point of HUK, then p is an accumulation point of H or p is an
accumulation point of K.
Transcribed Image Text:Problem 50. Let H and K be two point sets. Show the following two propositions are true. • If p is an accumulation point of HNK, then p is an accumulation point of both H and K. • If p is an accumulation point of HUK, then p is an accumulation point of H or p is an accumulation point of K.
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