11. Consider the rational numbers in 0; 1. Under an arbitrary enumeration, fqng, this set is a...

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11. Consider the rational numbers in ½0; 1. Under an arbitrary enumeration, fqng, this set is a bounded sequence. Show that:

(a) As proposition 5.12 states, this sequence has a convergent subsequence.

(b) This sequence has a countably infinite number of convergent sequences.

(c) This sequence has an uncountably infinite number of convergent sequences.

(d) These results remain true if we require all sequences to be monotonic.

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Introduction To Quantitative Finance A Math Tool Kit

ISBN: 978-0262013697

1st Edition

Authors: Robert R. Reitano

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Question Posted: Oct 30, 2024 05:01 AM

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11. Consider the rational numbers in 0; 1. Under an arbitrary enumeration, fqng, this set is a...

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Introduction To Quantitative Finance A Math Tool Kit

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