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Combinatorial properties of infinite sets. This is a corner-point of set theory and combinatorics.
2
votes
Does every strictly increasing, unbounded sequence of positive real numbers contain arbitrar...
If I have understood the question correctly, I believe this is false.
Construct an infinite, increasing, unbounded sequence using the following two definitions for the next term
x_i+1 = x_i + 1/x_i
…