What is an example of a function from positive integers to rational numbers that is not injective? If this was all integers it would be easy. The only thing I can think of is if you use ceilings but I don't think that is what it's looking for. Thanks for any help.
2026-04-01 22:47:49.1775083669
Positive integer to rational number that is not injective
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What about if you take $f(n)=1$ for each $n\in\mathbb Z$?