Show that a countably infinite number of guests arriving

Chapter 2, Problem 8E

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QUESTION:

Show that a countably infinite number of guests arriving at Hilbert’s fully occupied Grand Hotel can be given rooms without evicting any current guest.

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QUESTION:

Show that a countably infinite number of guests arriving at Hilbert’s fully occupied Grand Hotel can be given rooms without evicting any current guest.

ANSWER:

Solution:Step 1:We need to show that a countable number of arriving guests at Hilbert’s fully occupied Grand Hotel can be given rooms.

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